Heat Flow on Alexandrov Spaces
نویسندگان
چکیده
منابع مشابه
Heat Kernel Comparison on Alexandrov Spaces with Curvature Bounded Below
In this paper the comparison result for the heat kernel on Riemannian manifolds with lower Ricci curvature bound by Cheeger and Yau [CY81] is extended to locally compact path metric spaces (X, d) with lower curvature bound in the sense of Alexandrov and with sufficiently fast asymptotic decay of the volume of small geodesic balls. As corollaries we recover Varadhan’s short time asymptotic formu...
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Mathematics
سال: 2012
ISSN: 0010-3640
DOI: 10.1002/cpa.21431