A Brief Guide to the Global Theory of Surfaces
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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.
KeywordsMinimal Surface Constant Curvature Isoperimetric Inequality Closed Geodesic Compact Surface
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