Journal
QUARTERLY JOURNAL OF MATHEMATICS
Volume 52, Issue -, Pages 171-180Publisher
OXFORD UNIV PRESS
DOI: 10.1093/qjmath/52.2.171
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Li and Yau type two-sided heat kernel bounds are obtained for symmetric diffusions under a curvature-dimension condition, where the heat kernel upper bound is established for a more general case. As an application, the compactness of manifolds is studied using heat kernels. In particular, a conjecture by Bueler is proved.
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