Stochastic local Gauss-Bonnet-Chern theorem
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.
scientific article; zbMATH DE number 1098712