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Let M^2 be subset of R^3 be a regular surface in R^3. Aussme that M^2 is...

Let M^2 be subset of R^3 be a regular surface in R^3.

Aussme that M^2 is compact, oriented and not homeomorphic to a sphere.

Show that there exist points in M^2 for which the Gaussian curvature is positive, negative and zero.

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