Seminar on Differential Geometry AM 102 Volume 102 is popular PDF and ePub book, written by Shing-tung Yau in 2016-03-02, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Seminar on Differential Geometry AM 102 Volume 102 can be Read Online from any device for your convenience.
Seminar on Differential Geometry AM 102 Volume 102 Book PDF Summary
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.
Detail Book of Seminar on Differential Geometry AM 102 Volume 102 PDF
- Author : Shing-tung Yau
- Release : 02 March 2016
- Publisher : Princeton University Press
- ISBN : 9781400881918
- Genre : Mathematics
- Total Page : 720 pages
- Language : English
- PDF File Size : 13,7 Mb
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