Hilbert'S Lemma

(Differential Geometry)


Differential Geometry
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What is Hilbert's lemma?

Hilbert's lemma was proposed at the end of the 19th century by mathematician David Hilbert. The lemma describes a property of the principal curvatures of surfaces. It may be used to prove Liebmann's theorem that a compact surface with constant Gaussian curvature must be a sphere.

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