Stochastic local Gauss-Bonnet-Chern theorem (Q1374846)
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scientific article; zbMATH DE number 1098712
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stochastic local Gauss-Bonnet-Chern theorem |
scientific article; zbMATH DE number 1098712 |
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Stochastic local Gauss-Bonnet-Chern theorem (English)
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27 July 1998
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The Gauss-Bonnet-Chern theorem is the index theorem for the Hodge-de Rham Laplacian on differential forms. This theorem for a compact Riemannian manifold (without boundary) is discussed to exhibit in a clear manner the role that Riemannian Brownian motion plays in various probabilistic approaches to index theorems.
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Gauss-Bonnet-Chern theorem
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index theorem
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Riemannian Brownian motion
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