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arXiv · 2003.05603

Brownian motions and heat kernel lower bounds on K\"ahler and quaternion K\"ahler manifolds

Fabrice Baudoin·Guang Yang
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Abstract

We study the radial parts of the Brownian motions on K\"ahler and quaternion K\"ahler 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.

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Fabrice Baudoin, Guang Yang. 2020-03-12. Brownian motions and heat kernel lower bounds on K\"ahler and quaternion K\"ahler manifolds. https://arxiv.org/abs/2003.05603

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