A Riemannian Manifold Definition 3 (Manifold) [36] Let M

Assume that the heat kernel is Lipschitz continous. Proof We start by introducing the following lemma, which is Proposition 4.4 in [20]. Following some previous work, we first define the projection operator. We then introduce the following lemma which utilize the projection operator. Readers who are interested may also refer to Chapter 5.3 in [8] and proof C (null) 0 as null 0, and Γ is the gamma function.