Download or read book An Introduction to Extremal Kahler Metrics written by Gábor Székelyhidi and published by American Mathematical Soc.. This book was released on 2014-06-19 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: A basic problem in differential geometry is to find canonical metrics on manifolds. The best known example of this is the classical uniformization theorem for Riemann surfaces. Extremal metrics were introduced by Calabi as an attempt at finding a higher-dimensional generalization of this result, in the setting of Kähler geometry. This book gives an introduction to the study of extremal Kähler metrics and in particular to the conjectural picture relating the existence of extremal metrics on projective manifolds to the stability of the underlying manifold in the sense of algebraic geometry. The book addresses some of the basic ideas on both the analytic and the algebraic sides of this picture. An overview is given of much of the necessary background material, such as basic Kähler geometry, moment maps, and geometric invariant theory. Beyond the basic definitions and properties of extremal metrics, several highlights of the theory are discussed at a level accessible to graduate students: Yau's theorem on the existence of Kähler-Einstein metrics, the Bergman kernel expansion due to Tian, Donaldson's lower bound for the Calabi energy, and Arezzo-Pacard's existence theorem for constant scalar curvature Kähler metrics on blow-ups.
Download or read book Regulators in Analysis Geometry and Number Theory written by Alexander Reznikov and published by Springer Science & Business Media. This book was released on 2000 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This work is an outgrowth of a conference held at the Hebrew University in Jerusalem on Regulators in Analysis, Geometry and Number Theory, and should appeal to a broad audience of graduate students and research mathematicians."--BOOK JACKET.
Download or read book Spectral Geometry written by Pierre H. Berard and published by Springer. This book was released on 2006-11-14 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Arbeitstagung Bonn 1984 written by Friedrich Hirzebruch and published by Springer. This book was released on 1985 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Introduction to the K hler Ricci Flow written by Sebastien Boucksom and published by Springer. This book was released on 2013-10-02 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects lecture notes from courses offered at several conferences and workshops, and provides the first exposition in book form of the basic theory of the Kähler-Ricci flow and its current state-of-the-art. While several excellent books on Kähler-Einstein geometry are available, there have been no such works on the Kähler-Ricci flow. The book will serve as a valuable resource for graduate students and researchers in complex differential geometry, complex algebraic geometry and Riemannian geometry, and will hopefully foster further developments in this fascinating area of research. The Ricci flow was first introduced by R. Hamilton in the early 1980s, and is central in G. Perelman’s celebrated proof of the Poincaré conjecture. When specialized for Kähler manifolds, it becomes the Kähler-Ricci flow, and reduces to a scalar PDE (parabolic complex Monge-Ampère equation). As a spin-off of his breakthrough, G. Perelman proved the convergence of the Kähler-Ricci flow on Kähler-Einstein manifolds of positive scalar curvature (Fano manifolds). Shortly after, G. Tian and J. Song discovered a complex analogue of Perelman’s ideas: the Kähler-Ricci flow is a metric embodiment of the Minimal Model Program of the underlying manifold, and flips and divisorial contractions assume the role of Perelman’s surgeries.
Download or read book Manifolds and Differential Geometry written by Jeffrey Marc Lee and published by American Mathematical Soc.. This book was released on 2009 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential geometry began as the study of curves and surfaces using the methods of calculus. This book offers a graduate-level introduction to the tools and structures of modern differential geometry. It includes the topics usually found in a course on differentiable manifolds, such as vector bundles, tensors, and de Rham cohomology.
Download or read book Handbook of Global Analysis written by Demeter Krupka and published by Elsevier. This book was released on 2011-08-11 with total page 1243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a comprehensive exposition of topics covered by the American Mathematical Society’s classification “Global Analysis , dealing with modern developments in calculus expressed using abstract terminology. It will be invaluable for graduate students and researchers embarking on advanced studies in mathematics and mathematical physics.This book provides a comprehensive coverage of modern global analysis and geometrical mathematical physics, dealing with topics such as; structures on manifolds, pseudogroups, Lie groupoids, and global Finsler geometry; the topology of manifolds and differentiable mappings; differential equations (including ODEs, differential systems and distributions, and spectral theory); variational theory on manifolds, with applications to physics; function spaces on manifolds; jets, natural bundles and generalizations; and non-commutative geometry. - Comprehensive coverage of modern global analysis and geometrical mathematical physics- Written by world-experts in the field- Up-to-date contents
Download or read book Visual Thinking written by Rudolf Arnheim and published by Univ of California Press. This book was released on 1969 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 35th anniversary of this classic of art theory.
Download or read book Mathematical Visualization written by H.-C. Hege and published by Springer Science & Business Media. This book was released on 1998-10-20 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Visualization is a young new discipline. It offers efficient visualization tools to the classical subjects of mathematics, and applies mathematical techniques to problems in computer graphics and scientific visualization. Originally, it started in the interdisciplinary area of differential geometry, numerical mathematics, and computer graphics. In recent years, the methods developed have found important applications. The current volume is the quintessence of an international workshop in September 1997 in Berlin, focusing on recent developments in this emerging area. Experts present selected research work on new algorithms for visualization problems, describe the application and experiments in geometry, and develop new numerical or computer graphical techniques.
Download or read book The Jewish Encyclopedia written by Isidore Singer and published by . This book was released on 1901 with total page 726 pages. Available in PDF, EPUB and Kindle. Book excerpt: V.I:Aach-Apocalyptic lit.--V.2: Apocrypha-Benash--V.3:Bencemero-Chazanuth--V.4:Chazars-Dreyfus--V.5: Dreyfus-Brisac-Goat--V.6: God-Istria--V.7:Italy-Leon--V.8:Leon-Moravia--V.9:Morawczyk-Philippson--V.10:Philippson-Samoscz--V.11:Samson-Talmid--V.12: Talmud-Zweifel.
Download or read book Spina Bifida written by M. Memet Özek and published by Springer Science & Business Media. This book was released on 2008-08-29 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book to promote a multidisciplinary approach to Spina Bifida, providing the three main specialists categories involved – neurosurgeon, orthopedic surgeons, and urologists – with a concise reference that explains the main clinical problems to be faced in everyday clinical practice. The book also provides the busy specialist with an updated overview of surgical approaches.
Download or read book Radiological Sciences Dictionary Keywords names and definitions written by David Dowsett and published by CRC Press. This book was released on 2009-03-27 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Radiological Sciences Dictionary is a rapid reference guide for all hospital staff employed in diagnostic imaging, providing definitions of over 3000 keywords as applied to the technology of diagnostic radiology.Written in a concise and easy to digest form, the dictionary covers a wide variety of subject matter, including:a radiation legislati
Download or read book The Universal Coefficient Theorem and Quantum Field Theory written by Andrei-Tudor Patrascu and published by Springer. This book was released on 2016-09-23 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis describes a new connection between algebraic geometry, topology, number theory and quantum field theory. It offers a pedagogical introduction to algebraic topology, allowing readers to rapidly develop basic skills, and it also presents original ideas to inspire new research in the quest for dualities. Its ambitious goal is to construct a method based on the universal coefficient theorem for identifying new dualities connecting different domains of quantum field theory. This thesis opens a new area of research in the domain of non-perturbative physics—one in which the use of different coefficient structures in (co)homology may lead to previously unknown connections between different regimes of quantum field theories. The origin of dualities is an issue in fundamental physics that continues to puzzle the research community with unexpected results like the AdS/CFT duality or the ER-EPR conjecture. This thesis analyzes these observations from a novel and original point of view, mainly based on a fundamental connection between number theory and topology. Beyond its scientific qualities, it also offers a pedagogical introduction to advanced mathematics and its connection with physics. This makes it a valuable resource for students in mathematical physics and researchers wanting to gain insights into (co)homology theories with coefficients or the way in which Grothendieck's work may be connected with physics.
Download or read book Fluorescent Biomolecules written by David M. Jameson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on an international symposium held during September 9-12, 1986 in Bocca di Magra, Italy. The intent of the organizers was to bring together expert practitioners of fluorescence spectroscopy, particularly as applied to biological systems, to assess recent developments in the field and discuss future directions. At the same time the meeting was intended to honor the singular and outstanding scientific career of Gregorio Weber on the occasion of his seventieth birthday. Gregorio Weber is truly the pioneer in the application of fluores cence methods to biochemistry and biophysics. A complete list of his scientific contributions to fluorescence and to protein biochemistry is beyond the scope of this preface. Suffice it to say that since his initial landmark articles on fluorescence, published in the late 1940's and early 1950's, Gregorio Weber has continued to make seminal contribu tions to both the theory and practice of fluorescence and, contrary to many who might be tempted to rest on their laurels, he shows no signs of slackening his pace. In addition to his more obvious tangible contributions to the scientific field, Gregorio Weber has made equally valuable contributions of another type. Specifically, he has had the most profound impact, both profeSSionally and personally, on generations of young scientists.
Download or read book Bone Pathology written by Jasvir S. Khurana and published by Springer Science & Business Media. This book was released on 2009-12-02 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bone Pathology is the second edition of the book, A Compendium of Skeletal Pathology that published 10 years ago. Similar to the prior edition, this book complements standard pathology texts and blends new but relatively established information on the molecular biology of the bone. Serving as a bench-side companion to the surgical pathologist, this new edition reflects new advances in our understanding of the molecular biology of bone. New chapters on soft-tissue sarcomas and soft-tissue tumors have been added as well as several additional chapters such as Soft-tissue pathology and Biomechanics. The volume is written by experts who are established in the field of musculoskeletal diseases. Bone Pathology is a combined effort from authors of different specialties including surgeons, pathologists, radiologists and basic scientists all of whom have in common an interest in bone diseases. It will be of great value to surgical pathology residents as well as practicing pathologists, skeletal radiologists, orthopedic surgeons and medical students.
Download or read book Brain and Art written by Bruno Colombo and published by Springer Nature. This book was released on 2019-08-29 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book analyzes and discusses in detail art therapy, a specific tool used to sustain health in affective developments, rehabilitation, motor skills and cognitive functions. Art therapy is based on the assumption that the process of making art (music, dance, painting) sparks emotions and enhances brain activity. Art therapy is used to encourage personal growth, facilitate particular brain areas or activity patterns, and improve neural connectivity. Treating neurological diseases using artistic strategies offers us a unique option for engaging brain structural networks that enhance the brain’s ability to form new connections. Based on brain plasticity, art therapy has the potential to increase our repertoire for treating neurological diseases. Neural substrates are the basis of complex emotions relative to art experiences, and involve a widespread activation of cognitive and motor systems. Accordingly, art therapy has the capacity to modulate behavior, cognition, attention and movement. In this context, art therapy can offer effective tools for improving general well-being, quality of life and motivation in connection with neurological diseases. The book discusses art therapy as a potential group of techniques for the treatment of neurological disturbances and approaches the relationship between humanistic disciplines and neurology from a holistic perspective, reflecting the growing interest in this interconnection.
Download or read book Supersymmetric Field Theories written by Sergio Cecotti and published by Cambridge University Press. This book was released on 2015-01-08 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Adopting an elegant geometrical approach, this advanced pedagogical text describes deep and intuitive methods for understanding the subtle logic of supersymmetry while avoiding lengthy computations. The book describes how complex results and formulae obtained using other approaches can be significantly simplified when translated to a geometric setting. Introductory chapters describe geometric structures in field theory in the general case, while detailed later chapters address specific structures such as parallel tensor fields, G-structures, and isometry groups. The relationship between structures in supergravity and periodic maps of algebraic manifolds, Kodaira-Spencer theory, modularity, and the arithmetic properties of supergravity are also addressed. Relevant geometric concepts are introduced and described in detail, providing a self-contained toolkit of useful techniques, formulae and constructions. Covering all the material necessary for the application of supersymmetric field theories to fundamental physical questions, this is an outstanding resource for graduate students and researchers in theoretical physics.
