Global theory of surfaces

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


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.


Gaussian Curvature Principal Curvature Closed Surface Compact Surface Umbilical Point 
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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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