↓ Skip to main content
What is this page? Embed badge

Differential Geometry in the Large

Overview of attention for book
Cover of 'Differential Geometry in the Large'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 The Euler Characteristic and Related Topics
  3. Altmetric Badge
    Chapter 2 Selected Topics in Elementary Differential Geometry
  4. Altmetric Badge
    Chapter 3 The Isoperimetric Inequality and Related Inequalities
  5. Altmetric Badge
    Chapter 4 The Elementary Concept of Area and Volume
  6. Altmetric Badge
    Chapter 5 Introduction
  7. Altmetric Badge
    Chapter 6 Differential Geometry of Surfaces in the Small
  8. Altmetric Badge
    Chapter 7 Some General Remarks on Closed Surfaces in Differential Geometry
  9. Altmetric Badge
    Chapter 8 The Total Curvature (Curvatura Inteqra) of a Closed Surface with Riemannian Metric and Poincaré’s Theorem on the Singularities of Fields of Line Elements
  10. Altmetric Badge
    Chapter 9 Hadamard’s Characterization of the Ovaloids
  11. Altmetric Badge
    Chapter 10 Closed Surfaces with Constant Gauss Curvature (Hilbert’s Method) — Generalizations and Problems — General Remarks on Weinqarten Surfaces
  12. Altmetric Badge
    Chapter 11 General Closed Surfaces of Genus O with Constant Mean Curvature — Generalizations
  13. Altmetric Badge
    Chapter 12 Simple Closed Surfaces (of Arbitrary Genus) with Constant Mean Curvature — Generalizations
  14. Altmetric Badge
    Chapter 13 The Congruence Theorem for Ovaloids
  15. Altmetric Badge
    Chapter 14 Singularities of Surfaces with Constant Negative Gauss Curvature
Attention for Chapter 8: The Total Curvature (Curvatura Inteqra) of a Closed Surface with Riemannian Metric and Poincaré’s Theorem on the Singularities of Fields of Line Elements
Altmetric Badge

Citations

dimensions_citation
83 Dimensions
Summary Dimensions citations
You are seeing a free-to-access but limited selection of the activity Altmetric has collected about this research output. Click here to find out more.
Chapter title
The Total Curvature (Curvatura Inteqra) of a Closed Surface with Riemannian Metric and Poincaré’s Theorem on the Singularities of Fields of Line Elements
Chapter number 8
Book title
Differential Geometry in the Large
Published by
Springer, Berlin, Heidelberg, January 1989
DOI 10.1007/3-540-39482-6_8
Book ISBNs
978-3-54-051497-8, 978-3-54-039482-2
Authors

Heinz Hopf, Hopf, Heinz

View on publisher site

This page is provided by Altmetric.