Download or read book Tight and Taut Submanifolds written by Nicolaas Hendrik Kuiper and published by Cambridge University Press. This book was released on 1997-11-13 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1997, this book contains six in-depth articles on various aspects of the field of tight and taut submanifolds and concludes with an extensive bibliography of the entire field. The book is dedicated to the memory of Nicolaas H. Kuiper; the first paper is an unfinished but insightful survey of the field of tight immersions and maps written by Kuiper himself. Other papers by leading researchers in the field treat topics such as the smooth and polyhedral portions of the theory of tight immersions, taut, Dupin and isoparametric submanifolds of Euclidean space, taut submanifolds of arbitrary complete Riemannian manifolds, and real hypersurfaces in complex space forms with special curvature properties. Taken together these articles provide a comprehensive survey of the field and point toward several directions for future research.

Download or read book Tight and Taut Immersions of Manifolds written by Thomas E. Cecil and published by Pitman Advanced Publishing Program. This book was released on 1985 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Geometry And Topology Of Submanifolds Vi Pure And Applied Differential Geometry And The Theory Of Submanifolds written by Franki Dillen and published by World Scientific. This book was released on 1994-09-30 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topics covered are pure differential geometry, especially submanifolds and affine differential geometry, and applications of geometry to human vision, robotics, and gastro-entrology.

Download or read book Tight and Taut Immersions of Manifolds written by Thomas E. Cecil and published by Halsted Press. This book was released on 1986-05-01 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Geometry of Hypersurfaces written by Thomas E. Cecil and published by Springer. This book was released on 2015-10-30 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: This exposition provides the state-of-the art on the differential geometry of hypersurfaces in real, complex, and quaternionic space forms. Special emphasis is placed on isoparametric and Dupin hypersurfaces in real space forms as well as Hopf hypersurfaces in complex space forms. The book is accessible to a reader who has completed a one-year graduate course in differential geometry. The text, including open problems and an extensive list of references, is an excellent resource for researchers in this area. Geometry of Hypersurfaces begins with the basic theory of submanifolds in real space forms. Topics include shape operators, principal curvatures and foliations, tubes and parallel hypersurfaces, curvature spheres and focal submanifolds. The focus then turns to the theory of isoparametric hypersurfaces in spheres. Important examples and classification results are given, including the construction of isoparametric hypersurfaces based on representations of Clifford algebras. An in-depth treatment of Dupin hypersurfaces follows with results that are proved in the context of Lie sphere geometry as well as those that are obtained using standard methods of submanifold theory. Next comes a thorough treatment of the theory of real hypersurfaces in complex space forms. A central focus is a complete proof of the classification of Hopf hypersurfaces with constant principal curvatures due to Kimura and Berndt. The book concludes with the basic theory of real hypersurfaces in quaternionic space forms, including statements of the major classification results and directions for further research.

Download or read book Lie Sphere Geometry written by Thomas E. Cecil and published by Springer Science & Business Media. This book was released on 2007-11-26 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thomas Cecil is a math professor with an unrivalled grasp of Lie Sphere Geometry. Here, he provides a clear and comprehensive modern treatment of the subject, as well as its applications to the study of Euclidean submanifolds. It begins with the construction of the space of spheres, including the fundamental notions of oriented contact, parabolic pencils of spheres, and Lie sphere transformations. This new edition contains revised sections on taut submanifolds, compact proper Dupin submanifolds, reducible Dupin submanifolds, and the cyclides of Dupin. Completely new material on isoparametric hypersurfaces in spheres and Dupin hypersurfaces with three and four principal curvatures is also included. The author surveys the known results in these fields and indicates directions for further research and wider application of the methods of Lie sphere geometry.

Download or read book Mathematician And His Mathematical Work A Selected Papers Of S S Chern written by Shiu-yuen Cheng and published by World Scientific. This book was released on 1996-09-07 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is about the life and work of Shiing-Shen Chern (1911-), one of the leading mathematicians of this century. The book contains personal accounts by some friends, together with a summary of the mathematical works by Chern himself. Besides a selection of the mathematical papers the book also contains all his papers published after 1988.

Download or read book Proceedings of the Workshop Contemporary Geometry and Related Topics written by Neda Bokan and published by World Scientific. This book was released on 2004 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Readership: Researchers in geometry & topology, nonlinear science and dynamical systems.

Download or read book Contemporary Geometry And Related Topics Proceedings Of The Workshop written by Neda Bokan and published by World Scientific. This book was released on 2004-03-15 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers a broad range of subjects in modern geometry and related branches of mathematics, physics and computer science. Most of the papers show new, interesting results in Riemannian geometry, homotopy theory, theory of Lie groups and Lie algebras, topological analysis, integrable systems, quantum groups, and noncommutative geometry. There are also papers giving overviews of the recent achievements in some special topics, such as the Willmore conjecture, geodesic mappings, Weyl's tube formula, and integrable geodesic flows. This book provides a great chance for interchanging new results and ideas in multidisciplinary studies.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences

Download or read book Geometry And Topology Of Submanifolds V Proceedings Of The Conferences On Differential Geometry And Vision Theory Of Submanifolds written by Franki Dillen and published by World Scientific. This book was released on 1993-09-30 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Critical Point Theory and Submanifold Geometry written by Richard S. Palais and published by Springer. This book was released on 2006-11-14 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Conformal Differential Geometry and Its Generalizations written by Maks A. Akivis and published by John Wiley & Sons. This book was released on 2011-09-20 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive coverage of the foundations, applications, recent developments, and future of conformal differential geometry Conformal Differential Geometry and Its Generalizations is the first and only text that systematically presents the foundations and manifestations of conformal differential geometry. It offers the first unified presentation of the subject, which was established more than a century ago. The text is divided into seven chapters, each containing figures, formulas, and historical and bibliographical notes, while numerous examples elucidate the necessary theory. Clear, focused, and expertly synthesized, Conformal Differential Geometry and Its Generalizations * Develops the theory of hypersurfaces and submanifolds of any dimension of conformal and pseudoconformal spaces. * Investigates conformal and pseudoconformal structures on a manifold of arbitrary dimension, derives their structure equations, and explores their tensor of conformal curvature. * Analyzes the real theory of four-dimensional conformal structures of all possible signatures. * Considers the analytic and differential geometry of Grassmann and almost Grassmann structures. * Draws connections between almost Grassmann structures and web theory. Conformal differential geometry, a part of classical differential geometry, was founded at the turn of the century and gave rise to the study of conformal and almost Grassmann structures in later years. Until now, no book has offered a systematic presentation of the multidimensional conformal differential geometry and the conformal and almost Grassmann structures. After years of intense research at their respective universities and at the Soviet School of Differential Geometry, Maks A. Akivis and Vladislav V. Goldberg have written this well-conceived, expertly executed volume to fill a void in the literature. Dr. Akivis and Dr. Goldberg supply a deep foundation, applications, numerous examples, and recent developments in the field. Many of the findings that fill these pages are published here for the first time, and previously published results are reexamined in a unified context. The geometry and theory of conformal and pseudoconformal spaces of arbitrary dimension, as well as the theory of Grassmann and almost Grassmann structures, are discussed and analyzed in detail. The topics covered not only advance the subject itself, but pose important questions for future investigations. This exhaustive, groundbreaking text combines the classical results and recent developments and findings. This volume is intended for graduate students and researchers of differential geometry. It can be especially useful to those students and researchers who are interested in conformal and Grassmann differential geometry and their applications to theoretical physics.

Download or read book Differential Geometry of Submanifolds written by K. Kenmotsu and published by Springer. This book was released on 2007-01-05 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Homogeneous Spaces Tits Buildings and Isoparametric Hypersurfaces written by Linus Kramer and published by American Mathematical Soc.. This book was released on 2002 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title classifys 1-connected compact homogeneous spaces which have the same rational cohomology as a product of spheres $\mahtbb{S} DEGREES{n_1}\times\mathbb{S} DEGREES{n_2}$, with $3\leq n_1\leq n_2$ and $n_2$ odd. As an application, it classifys compact generalized quadrangles (buildings of type $C_2)$ which admit a point transitive automorphism group, and isoparametric hypersurfaces which admit a transitive isometry group on one f

Download or read book Mathematical Software Proceedings Of The First International Congress Of Mathematical Software written by Arjeh M Cohen and published by World Scientific. This book was released on 2002-07-26 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: The advent of mathematical software has been one of the most important events in mathematics. Mathematical software systems are used to construct examples, to prove theorems, and to find new mathematical phenomena. On the other hand, mathematical research often motivates developments of new algorithms and new systems.This volume contains the papers presented at the First International Congress of Mathematical Software, which aimed at a coherent study of mathematical software systems from a wide variety of branches of mathematics. The book discusses more than one hundred mathematical software systems. Readers can get an overview of the current status of the arts of mathematical software and algorithms.The proceedings have been selected for coverage in: • Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)

Download or read book Total Mean Curvature and Submanifolds of Finite Type written by Bang-yen Chen and published by World Scientific Publishing Company. This book was released on 1984 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to introduce the reader to two interesting topics in geometry which have developed over the last fifteen years, namely, total mean curvature and submanifolds of finite type. The theory of total mean curvature is the study of the integral of the n-th power of the mean curvature of a compact n-dimensional submanifold in a Euclidean m-space and its applications to other branches of mathematics. The relation of total mean curvature to analysis, geometry and topology are discussed in detail. Motivated from these studies, the author introduces and studies submanifolds of finite type in the last chapter. Some applications of such submanifolds are also given. This book is self-contained. The author hopes that the reader will be encouraged to pursue his studies beyond the confines of the present book.

Download or read book Complex Contact and Symmetric Manifolds written by Oldrich Kowalski and published by Springer Science & Business Media. This book was released on 2007-07-28 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Contains research and survey articles by well known and respected mathematicians on recent developments and research trends in differential geometry and topology * Dedicated in honor of Lieven Vanhecke, as a tribute to his many fruitful and inspiring contributions to these fields * Papers include all necessary introductory and contextual material to appeal to non-specialists, as well as researchers and differential geometers