Stochastic local Gauss-Bonnet-Chern theorem
type: Item
instance of: scholarly article
title: Stochastic local Gauss-Bonnet-Chern theorem
zbMATH Open document ID: 0892.58086
DOI: 10.1023/A:1022691430720
author: Elton P. Hsu
published in: Journal of Theoretical Probability
publication date: 1998-07-27T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 58J65
Mathematics Subject Classification ID: 58J20
zbMATH DE Number: 1098712
zbMATH Keywords: Gauss-Bonnet-Chern theorem
zbMATH Keywords: index theorem
zbMATH Keywords: Riemannian Brownian motion
reviewed by: Simon Eloshvili
MaRDI profile type: Publication
full work available at URL: a:1022691430720
OpenAlex ID: W1828453521
description: scientific article; zbMATH DE number 1098712