Differential Geometry in the Large Seminar Lectures New York University 1946 and Stanford University 1956
These notes consist of two parts: 1) Selected Topics in Geometry, New York University 1946, Notes by Peter Lax. 2) Lectures on Differential Geometry in the Large, Stanford University 1956, Notes by J. W. Gray. They are reproduced here with no essential change. Heinz Hopf was a mathematician who reco...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
1983, 1983
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| Edition: | 1st ed. 1983 |
| Series: | Lecture Notes in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- One Selected Topics in Geometry
- I The Euler Characteristic and Related Topics
- II Selected Topics in Elementary Differential Geometry
- III The Isoperimetric Inequality and Related Inequalities
- IV The Elementary Concept of Area and Volume
- Two Differential Geometry in the Large
- I Differential Geometry of Surfacesin the Small
- II Some General Remarks on Closed Surfaces in Differential Geometry
- III The Total Curvature (Curvatura Integra) of a Closed Surface with Riemannian Metric and Poincaré’s Theorem on the Singularities of Fields of Line Elements
- IV Hadamard’s Characterization of the Ovaloids
- V Closed Surfaces with Constant Gauss Curvature (Hilbert’s Methods) — Generalizations and Problems — General Remarks on Weingarten Surfaces
- VI General Closed Surfaces of Genus O with Constant Mean Curvature — Generalizations
- VII Simple Closed Surfaces (of Arbitrary Genus) with Constant Mean Curvature — Generalizations
- VIII The Congruence Theorem for Ovaloids
- IX Singularities of Surfaces with Constant Negative Gauss Curvature