A probabilistic proof of the Gauss-Bonnet-Chern theorem for manifolds with boundary

zbMath0704.58056MaRDI QIDQ917130

Shinzo Watanabe, Ichiro Shigekawa, Naomasa Ueki

Publication date: 1989

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

fundamental solution of the heat equationGauß-Bonnet-Chern theoremgeneralized Wiener functional

Mathematics Subject Classification ID

Heat equation (35K05) Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65) Boundary value problems on manifolds (58J32) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (3)

Estimation of the density of the solution of the robust Zakaï equation ⋮ Reflecting Brownian motion and the Gauss-Bonnet-Chern theorem ⋮ Differentiable measures and the Malliavin calculus

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