TY - JOUR
T1 - Brownian Motions and Heat Kernel Lower Bounds on Kähler and Quaternion Kähler Manifolds
AU - Baudoin, Fabrice
AU - Yang, Guang
N1 - Publisher Copyright:
© 2020 The Author(s) 2020. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: [email protected].
PY - 2022/3/1
Y1 - 2022/3/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85115012649&partnerID=8YFLogxK
U2 - 10.1093/imrn/rnaa199
DO - 10.1093/imrn/rnaa199
M3 - Journal article
AN - SCOPUS:85115012649
SN - 1073-7928
VL - 2022
SP - 4659
EP - 4681
JO - International Mathematics Research Notices
JF - International Mathematics Research Notices
IS - 6
ER -