A heat kernel lower bound for integral Ricci curvature
The heat kernel is one of the most fundamental quantities in geometry. It can be estimated
both from above and below in terms of Ricci curvature (see [1; 2; 7]). The heat kernel upper
bound has been extended to integral Ricci curvature by Gallot in [4]. Here we extend
Cheeger and Yau's [2] lower bound to integral Ricci curvature.
both from above and below in terms of Ricci curvature (see [1; 2; 7]). The heat kernel upper
bound has been extended to integral Ricci curvature by Gallot in [4]. Here we extend
Cheeger and Yau's [2] lower bound to integral Ricci curvature.
The heat kernel is one of the most fundamental quantities in geometry. It can be estimated both from above and below in terms of Ricci curvature (see [1; 2; 7]). The heat kernel upper bound has been extended to integral Ricci curvature by Gallot in [4]. Here we extend Cheeger and Yau’s [2] lower bound to integral Ricci curvature.
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