Gradient Estimates for the CR Heat Equation on Closed Sasakian Manifolds
摘要
In this paper, we obtain a CR version Li–Yau type gradient estimate for positive solutions of the CR heat equation on closed Sasakian manifolds. As its applications, we derive the Harnack inequality and upper bound estimate for the heat kernel. Finally, we obtain Perelman-type entropy formula for closed Sasakian manifolds.