Differential Geometry in the Large
Seminar Lectures New York University 1946 and Stanford University 1956
Authors: Hopf, Heinz
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- About this book
-
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, .
- Table of contents (14 chapters)
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The Euler Characteristic and Related Topics
Pages 3-29
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Selected Topics in Elementary Differential Geometry
Pages 30-46
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The Isoperimetric Inequality and Related Inequalities
Pages 47-57
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The Elementary Concept of Area and Volume
Pages 58-75
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Introduction
Pages 81-81
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Table of contents (14 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Differential Geometry in the Large
- Book Subtitle
- Seminar Lectures New York University 1946 and Stanford University 1956
- Authors
-
- Heinz Hopf
- Series Title
- Lecture Notes in Mathematics
- Series Volume
- 1000
- Copyright
- 1989
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-540-39482-2
- DOI
- 10.1007/3-540-39482-6
- Softcover ISBN
- 978-3-540-51497-8
- Series ISSN
- 0075-8434
- Edition Number
- 2
- Number of Pages
- VIII, 192
- Topics
