Show that S is a sphere

Differential Geometry
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Tsakanikas Nickos
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Show that S is a sphere

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Post by Tsakanikas Nickos »

Let \( \displaystyle S \) be a compact, connected, regular surface with positive Gaussian Curvature \( \displaystyle K \) and constant mean curvature \( \displaystyle H \). Prove that \( \displaystyle S \) is a sphere.
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