Surveys in Differential Geometry
Author | : Huai-Dong Cao |
Publisher | : |
Total Pages | : 0 |
Release | : 2009 |
Genre | : Geometry, Algebraic |
ISBN | : 9781571461384 |
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Author | : Huai-Dong Cao |
Publisher | : |
Total Pages | : 0 |
Release | : 2009 |
Genre | : Geometry, Algebraic |
ISBN | : 9781571461384 |
Author | : Yau |
Publisher | : |
Total Pages | : 0 |
Release | : 2010-04-30 |
Genre | : Mathematics |
ISBN | : 9781571461780 |
Author | : Shing-Tung Yau |
Publisher | : |
Total Pages | : 460 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : |
Author | : Karen K. Uhlenbeck |
Publisher | : |
Total Pages | : |
Release | : 2010-04-30 |
Genre | : |
ISBN | : 9781571461803 |
Author | : Karen K. Uhlenbeck |
Publisher | : |
Total Pages | : 0 |
Release | : 2009-01-30 |
Genre | : Geometry, Differential |
ISBN | : 9781571461223 |
Includes lectures on geometry and topology related to the works of the late and venerated S S Chern, from the 2005 JDG conference at Harvard University.
Author | : Lebrun C Wang |
Publisher | : |
Total Pages | : 423 |
Release | : 2010-04-30 |
Genre | : Einstein manifolds |
ISBN | : 9781571461773 |
Author | : Shing-Tung Yau |
Publisher | : Princeton University Press |
Total Pages | : 720 |
Release | : 1982-03-21 |
Genre | : Mathematics |
ISBN | : 0691082960 |
This collection of papers constitutes a wide-ranging survey of recent developments in differential geometry and its interactions with other fields, especially partial differential equations and mathematical physics. This area of mathematics was the subject of a special program at the Institute for Advanced Study in Princeton during the academic year 1979-1980; the papers in this volume were contributed by the speakers in the sequence of seminars organized by Shing-Tung Yau for this program. Both survey articles and articles presenting new results are included. The articles on differential geometry and partial differential equations include a general survey article by the editor on the relationship of the two fields and more specialized articles on topics including harmonic mappings, isoperimetric and Poincaré inequalities, metrics with specified curvature properties, the Monge-Arnpere equation, L2 harmonic forms and cohomology, manifolds of positive curvature, isometric embedding, and Kraumlhler manifolds and metrics. The articles on differential geometry and mathematical physics cover such topics as renormalization, instantons, gauge fields and the Yang-Mills equation, nonlinear evolution equations, incompleteness of space-times, black holes, and quantum gravity. A feature of special interest is the inclusion of a list of more than one hundred unsolved research problems compiled by the editor with comments and bibliographical information.
Author | : Cheeger & Grove |
Publisher | : |
Total Pages | : |
Release | : 2010-04-30 |
Genre | : |
ISBN | : 9781571461810 |
Author | : Athanase Papadopoulos |
Publisher | : Springer Nature |
Total Pages | : 469 |
Release | : 2022-02-18 |
Genre | : Mathematics |
ISBN | : 3030866955 |
The volume consists of a set of surveys on geometry in the broad sense. The goal is to present a certain number of research topics in a non-technical and appealing manner. The topics surveyed include spherical geometry, the geometry of finite-dimensional normed spaces, metric geometry (Bishop—Gromov type inequalities in Gromov-hyperbolic spaces), convexity theory and inequalities involving volumes and mixed volumes of convex bodies, 4-dimensional topology, Teichmüller spaces and mapping class groups actions, translation surfaces and their dynamics, and complex higher-dimensional geometry. Several chapters are based on lectures given by their authors to middle-advanced level students and young researchers. The whole book is intended to be an introduction to current research trends in geometry.
Author | : Huai-Dong Cao |
Publisher | : |
Total Pages | : 344 |
Release | : 2009 |
Genre | : Mathematics |
ISBN | : 9781571461384 |