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Heinz Hopf
Front matter
3-29
The Euler Characteristic and Related Topics
30-46
Selected Topics in Elementary Differential Geometry
47-57
The Isoperimetric Inequality and Related Inequalities
58-75
The Elementary Concept of Area and Volume
81
Introduction
82-99
Differential Geometry of Surfaces in the Small
100-106
Some General Remarks on Closed Surfaces in Differential Geometry
107-118
The Total Curvature (Curvatura Inteqra) of a Closed Surface with Riemannian Metric and Poincaré’s Theorem on the Singularities of Fields of Line Elements
119-122
Hadamard’s Characterization of the Ovaloids
123-135
Closed Surfaces with Constant Gauss Curvature (Hilbert’s Method) — Generalizations and Problems — General Remarks on Weinqarten Surfaces
136-146
General Closed Surfaces of Genus O with Constant Mean Curvature — Generalizations
147-162
Simple Closed Surfaces (of Arbitrary Genus) with Constant Mean Curvature — Generalizations
163-173
The Congruence Theorem for Ovaloids
174-184
Singularities of Surfaces with Constant Negative Gauss Curvature
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