Seminar On Differential Geometry
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Seminar on Differential Geometry
Author | : Shing-Tung Yau,Institute for Advanced Study (Princeton, N.J.) |
Publsiher | : Princeton University Press |
Total Pages | : 720 |
Release | : 1982-03-21 |
Genre | : Mathematics |
ISBN | : 9780691082967 |
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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.
Seminar on Differential Geometry
![Seminar on Differential Geometry](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Shing-Tung Yau |
Publsiher | : Unknown |
Total Pages | : 716 |
Release | : 2024 |
Genre | : Electronic Book |
ISBN | : 060807795X |
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Differential Geometry in the Large
![Differential Geometry in the Large](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Anonim |
Publsiher | : Unknown |
Total Pages | : 0 |
Release | : 2024 |
Genre | : Electronic Book |
ISBN | : 0387120041 |
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Differential Geometry in the Large
Author | : Heinz Hopf |
Publsiher | : Springer |
Total Pages | : 192 |
Release | : 2003-07-01 |
Genre | : Mathematics |
ISBN | : 9783540394822 |
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These notes consist of two parts: Selected in York 1) Geometry, New 1946, Topics University Notes Peter Lax. by Differential in the 2) Lectures on Stanford Geometry Large, 1956, Notes J.W. University by Gray. are here with no essential They reproduced change. Heinz was a mathematician who mathema- Hopf recognized important tical ideas and new mathematical cases. In the phenomena through special the central idea the of a or difficulty problem simplest background is becomes clear. in this fashion a crystal Doing geometry usually lead serious allows this to to - joy. Hopf's great insight approach for most of the in these notes have become the st- thematics, topics I will to mention a of further try ting-points important developments. few. It is clear from these notes that laid the on Hopf emphasis po- differential Most of the results in smooth differ- hedral geometry. whose is both t1al have understanding geometry polyhedral counterparts, works I wish to mention and recent important challenging. Among those of Robert on which is much in the Connelly rigidity, very spirit R. and in - of these notes (cf. Connelly, Conjectures questions open International of Mathematicians, H- of gidity, Proceedings Congress sinki vol. 1, 407-414) 1978, .
Seminar on Differential Geometry
Author | : Shing-Tung Yau,Institute for Advanced Study (Princeton, N.J.) |
Publsiher | : Princeton University Press |
Total Pages | : 724 |
Release | : 1982-03-21 |
Genre | : Mathematics |
ISBN | : 0691082960 |
Download Seminar on Differential Geometry Book in PDF, Epub and Kindle
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.
Proceedings of the Seminar on Differential Geometry
![Proceedings of the Seminar on Differential Geometry](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Demeter Krupka |
Publsiher | : Unknown |
Total Pages | : 217 |
Release | : 2000 |
Genre | : Geometry, Differential |
ISBN | : 8072481045 |
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Differential Geometry and Analysis on CR Manifolds
Author | : Sorin Dragomir,Giuseppe Tomassini |
Publsiher | : Springer Science & Business Media |
Total Pages | : 499 |
Release | : 2007-06-10 |
Genre | : Mathematics |
ISBN | : 9780817644833 |
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Presents many major differential geometric acheivements in the theory of CR manifolds for the first time in book form Explains how certain results from analysis are employed in CR geometry Many examples and explicitly worked-out proofs of main geometric results in the first section of the book making it suitable as a graduate main course or seminar textbook Provides unproved statements and comments inspiring further study
Differential Geometry and Differential Equations
Author | : Chaohao Gu,Marcel Berger,Robert L. Bryant |
Publsiher | : Springer |
Total Pages | : 259 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 9783540478836 |
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The DD6 Symposium was, like its predecessors DD1 to DD5 both a research symposium and a summer seminar and concentrated on differential geometry. This volume contains a selection of the invited papers and some additional contributions. They cover recent advances and principal trends in current research in differential geometry.