The Gauss-Bonnet-Chern theorem: A probabilistic perspective
DOI10.1090/tran/6895zbMath1401.35229arXiv1404.5206OpenAlexW2962888576MaRDI QIDQ2951925
Liviu I. Nicolaescu, Nikhil Savale
Publication date: 10 January 2017
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1404.5206
curvaturecurrentsconnectionsLaplacianGaussian measuresGauss-Bonnet-Chern theoremheat kernel asymptoticsEuler formrandom sectionswave kernel asymptotics
Geometric probability and stochastic geometry (60D05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Pseudodifferential and Fourier integral operators on manifolds (58J40) Integral geometry (53C65) Global Riemannian geometry, including pinching (53C20) Heat and other parabolic equation methods for PDEs on manifolds (58J35)
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