2020/03/12 by Fabrice Baudoin, Guang Yang, Baudoin, Fabrice +1
Mathematics · #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Probability (math.PR)
paper · pdf · doi:10.48550/arxiv.2003.05603
openalex publication_date 2020/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We study the radial parts of the Brownian motions on Kähler and quaternion Kähler manifolds. Thanks to sharp Laplacian comparison theorems, we deduce as a consequence a sharp Cheeger-Yau type lower bound for the heat kernels of such manifolds and also sharp Cheng's type estimates for the Dirichlet eigenvalues of metric balls.