A Brief Guide to the Global Theory of Surfaces

  • Marcel Berger
  • Bernard Gostiaux
Part of the Graduate Texts in Mathematics book series (GTM, volume 115)


Our aim is to understand complete, compact surfaces from the global point of view, posing problems and obtaining results parallel to the ones discussed in chapter 9. As we have seen in chapter 10, such problems fall naturally into two categories: the ones dealing with abstract riemannian manifolds (X, g) and the ones dealing with surfaces embedded or immersed in R3.


Minimal Surface Constant Curvature Isoperimetric Inequality Closed Geodesic Compact Surface 
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.


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Copyright information

© Springer Science+Business Media New York 1988

Authors and Affiliations

  • Marcel Berger
    • 1
  • Bernard Gostiaux
    • 2
  1. 1.I.H.E.S.Bures-sur-YvetteFrance
  2. 2.Le PerreuxFrance

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