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Extrinsic Geometry of Convex Surfaces
About this Title
A. V. Pogorelov. Translated by Israel Program for Scientific Translations
Publication: Translations of Mathematical Monographs
Publication Year:
1973; Volume 35
ISBNs: 978-0-8218-1585-4 (print); 978-1-4704-4450-1 (online)
DOI: https://doi.org/10.1090/mmono/035
MathSciNet review: MR0346714
MSC: Primary 53C45
Table of Contents
Front/Back Matter
Chapters
- Introduction
- Intrinsic Geometry of Convex Surfaces
- Regularity of Convex Surfaces with Regular Metric
- Monotypy of Convex Surfaces
- Infinitesimal Bendings of Convex Surfaces
- Convex Surfaces in Spaces of Constant Curvature
- Convex Surfaces in Riemannian Space
- Convex Surfaces with Given Spherical Image
- Geometric Theory of Monge-Ampère Equations of Elliptic Type
- Surfaces of Bounded Extrinsic Curvature