Download or read book The Symplectic Structure of Submanifolds of K hler Manifolds of Non positive Curvature written by Eleonora Beatriz Ciriza and published by . This book was released on 1989 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Symplectic Structure of Submanifolds of K hler Manifolds of Non posititive Curvature written by E. Ciriza and published by . This book was released on 1990 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Symplectic Structure of Submanifolds of K hler Manifolds of Nonpositive Curvature written by Eleonora Beatriz Ciriza and published by . This book was released on 1992 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Symplectic Manifolds with no Kaehler structure written by Alesky Tralle and published by Springer. This book was released on 2006-11-14 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a research monograph covering the majority of known results on the problem of constructing compact symplectic manifolds with no Kaehler structure with an emphasis on the use of rational homotopy theory. In recent years, some new and stimulating conjectures and problems have been formulated due to an influx of homotopical ideas. Examples include the Lupton-Oprea conjecture, the Benson-Gordon conjecture, both of which are in the spirit of some older and still unsolved problems (e.g. Thurston's conjecture and Sullivan's problem). Our explicit aim is to clarify the interrelations between certain aspects of symplectic geometry and homotopy theory in the framework of the problems mentioned above. We expect that the reader is aware of the basics of differential geometry and algebraic topology at graduate level.
Download or read book Structures On Manifolds written by Masahiro Kon and published by World Scientific. This book was released on 1985-02-01 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: Riemannian ManifoldsSubmanifolds of Riemannian ManifoldsComplex ManifoldsSubmanifolds of Kaehlerian ManifoldsContact ManifoldsSubmanifolds of Sasakian Manifoldsf-StructuresProduct ManifoldsSubmersions Readership: Mathematicians. Keywords:Riemannian Manifold;Submanifold;Complex Manifold;Contact Manifold;Kaehlerian Manifold;Sasakian Manifold;Anti-Invariant Submanifold;CR Submanifold;Contact CR Submanifold;Submersion
Download or read book Geometry of Manifolds with Non negative Sectional Curvature written by Owen Dearricott and published by Springer. This book was released on 2014-07-22 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing an up-to-date overview of the geometry of manifolds with non-negative sectional curvature, this volume gives a detailed account of the most recent research in the area. The lectures cover a wide range of topics such as general isometric group actions, circle actions on positively curved four manifolds, cohomogeneity one actions on Alexandrov spaces, isometric torus actions on Riemannian manifolds of maximal symmetry rank, n-Sasakian manifolds, isoparametric hypersurfaces in spheres, contact CR and CR submanifolds, Riemannian submersions and the Hopf conjecture with symmetry. Also included is an introduction to the theory of exterior differential systems.
Download or read book Minimal Submanifolds and Related Topics written by Y. L. Xin and published by World Scientific. This book was released on 2003 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Bernstein problem and the Plateau problem are central topics inthe theory of minimal submanifolds. This important book presents theDouglasOCoRado solution to the Plateau problem, but the main emphasisis on the Bernstein problem and its new developments in variousdirections: the value distribution of the Gauss image of a minimalsurface in Euclidean 3-space, Simons'' work for minimal graphichypersurfaces, and author''s own contributions to Bernstein typetheorems for higher codimension."
Download or read book Symplectic Manifolds and Jones Witten Theory written by S. K. Donaldson and published by Cambridge University Press. This book was released on 1990 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lectures on K hler Manifolds written by Werner Ballmann and published by European Mathematical Society. This book was released on 2006 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes are based on lectures the author gave at the University of Bonn and the Erwin Schrodinger Institute in Vienna. The aim is to give a thorough introduction to the theory of Kahler manifolds with special emphasis on the differential geometric side of Kahler geometry. The exposition starts with a short discussion of complex manifolds and holomorphic vector bundles and a detailed account of the basic differential geometric properties of Kahler manifolds. The more advanced topics are the cohomology of Kahler manifolds, Calabi conjecture, Gromov's Kahler hyperbolic spaces, and the Kodaira embedding theorem. Some familiarity with global analysis and partial differential equations is assumed, in particular in the part on the Calabi conjecture. There are appendices on Chern-Weil theory, symmetric spaces, and $L^2$-cohomology.
Download or read book Minimal Submanifolds in Pseudo Riemannian Geometry written by Henri Anciaux and published by World Scientific. This book was released on 2011 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the foundational work of Lagrange on the differential equation to be satisfied by a minimal surface of the Euclidean space, the theory of minimal submanifolds have undergone considerable developments, involving techniques from related areas, such as the analysis of partial differential equations and complex analysis. On the other hand, the relativity theory has led to the study of pseudo-Riemannian manifolds, which turns out to be the most general framework for the study of minimal submanifolds. However, most of the recent books on the subject still present the theory only in the Riemannian case. For the first time, this textbook provides a self-contained and accessible introduction to the subject in the general setting of pseudo-Riemannian geometry, only assuming from the reader some basic knowledge about manifold theory. Several classical results, such as the Weierstrass representation formula for minimal surfaces, and the minimizing properties of complex submanifolds, are presented in full generality without sacrificing the clarity of exposition. Finally, a number of very recent results on the subject, including the classification of equivariant minimal hypersurfaces in pseudo-Riemannian space forms and the characterization of minimal Lagrangian surfaces in some pseudo-Khler manifolds are given.
Download or read book CR Submanifolds of Kaehlerian and Sasakian Manifolds written by Kentaro Yano and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometry of Submanifolds and Applications written by Bang-Yen Chen and published by Springer Nature. This book was released on with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lectures on Symplectic Manifolds written by Alan Weinstein and published by American Mathematical Soc.. This book was released on 1977 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: Features notes with sections containing a description of some of the basic constructions and results on symplectic manifolds and lagrangian submanifolds. This title also includes sections dealing with various aspects of the quantization problem, as wel as those giving a feedback of ideas from quantization theory into symplectic geometry itslef.
Download or read book Geometry of Submanifolds written by Bang-yen Chen and published by . This book was released on 1973 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a detailed account of some recent results in the field of real submanifolds. It includes an extensive bibliography for those readers who wish to do further research in this area. The first two chapters provide the background material in Riemannian geometry and the theory of submanifolds necessary to the understanding of the main part of the text. Among the many topics examined are the following: minimal submanifolds, including classical results on the first variation of the volume integral; submanifolds with parallel mean curvature vector; conformally flat manifolds; and umbilical submanifolds. The last chapter offers discussions on geometric inequalities of submanifolds, results in Morse theory and their applications, and total mean curvature of a submanifold. Problems are given at the end of each chapter to supplement the textual material. Geometry of Submanifolds is of special interest to advanced graduate students and to all mathematicians working with classical and modern differential geometries.
Download or read book Submanifold Theory written by Marcos Dajczer and published by Springer. This book was released on 2019-08-02 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to Submanifold theory, focusing on general properties of isometric and conformal immersions of Riemannian manifolds into space forms. One main theme is the isometric and conformal deformation problem for submanifolds of arbitrary dimension and codimension. Several relevant classes of submanifolds are also discussed, including constant curvature submanifolds, submanifolds of nonpositive extrinsic curvature, conformally flat submanifolds and real Kaehler submanifolds. This is the first textbook to treat a substantial proportion of the material presented here. The first chapters are suitable for an introductory course on Submanifold theory for students with a basic background on Riemannian geometry. The remaining chapters could be used in a more advanced course by students aiming at initiating research on the subject, and are also intended to serve as a reference for specialists in the field.
Download or read book Symplectic Manifolds with No K hler Structure written by Aleksy Tralle and published by . This book was released on 1997 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Symplectic Manifolds with No Kaehler Structure written by Alesky Tralle and published by . This book was released on 2014-09-01 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
