2021
DOI: 10.1007/978-3-030-84141-6_2
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Geometric Inequalities on Riemannian and Sub-Riemannian Manifolds by Heat Semigroups Techniques

Fabrice Baudoin
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Cited by 4 publications
(3 citation statements)
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“…For a general presentation of the heat semigroup theory and heat kernels on Riemannian manifolds, we refer for instance to [6] or [14].…”
Section: Heat Kernel On Riemannian Manifoldsmentioning
confidence: 99%
See 1 more Smart Citation
“…For a general presentation of the heat semigroup theory and heat kernels on Riemannian manifolds, we refer for instance to [6] or [14].…”
Section: Heat Kernel On Riemannian Manifoldsmentioning
confidence: 99%
“…(2.4) for all t ∈ (0, 1) and x, y ∈ M. Note that this estimate is also valid on the cut-locus. Heat kernel estimates (2): (Li-Yau estimates, see [6,Theorem 2.3.5]).…”
Section: Heat Kernel Estimates (1)mentioning
confidence: 99%
“…According to [Bau04], [Bau18a], [Bis84] and [Str86], we know that K(x, y, t) exists. We list some basic properties of K(x, y, t) as follows:…”
Section: Preliminariesmentioning
confidence: 99%