Construct · 1 fields · 1 citations

Gauss-Bonnet theorem: a standalone construct

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Differential geometry

the integral of curvature over a closed manifold equals a constant times its Euler characteristic, linking geometry and topology.

In differential geometry, Gauss-Bonnet theorem refers to the integral of curvature over a closed manifold equals a constant times its Euler characteristic, linking geometry and topology. This meaning comes from Chern (1944) in The Annals of Mathematics.[1]

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Nearby constructs

closed3 fields · 3 citationsjingle · one word, three constructs constant2 fields · 2 citationsjingle · one word, two constructs curvature3 fields · 4 citationsjingle · one word, three constructs

References

Chern, S. (1944). A Simple Intrinsic Proof of the Gauss-Bonnet Formula for Closed Riemannian Manifolds. The Annals of Mathematics, 45(4), 747. https://doi.org/10.2307/1969302

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