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Global theory of surfaces

  • Marco Abate
  • Francesca Tovena
Part of the UNITEXT book series (UNITEXT)

Abstract

The Gauss-Bonnet theorem is just the first (though one of the most important) of many theorems about the global theory of surfaces. It is a theory so wide-reaching and rich in results that t cannot be reasonably presented in a single chapter (or in a single book, for that matter). So we shall confine ourselves to introduce some significant theorems to give at least an idea of the techniques used and of the kind of results one can obtain.

Keywords

Gaussian Curvature Principal Curvature Closed Surface Compact Surface Umbilical Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer-Verlag Italia 2012

Authors and Affiliations

  • Marco Abate
    • 1
  • Francesca Tovena
    • 2
  1. 1.Department of MathematicsUniversity of PisaItaly
  2. 2.Department of MathematicsUniversity of Rome Tor VergataItaly

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