Linear Trace Li-Yau-Hamilton Inequality for the CR Lichnerowicz-Laplacian Heat Equation
Journal
Journal of Geometric Analysis
Pages
1-37
Date Issued
2013
Author(s)
Abstract
In this paper, we study the CR Lichnerowicz–Laplacian heat equation deformation of (1,1)-tensors on a complete strictly pseudoconvex CR (2n+1)-manifold. We derive the linear trace version of the Li–Yau–Hamilton inequality for positive solutions of the CR Lichnerowicz–Laplacian heat equation. We also obtain a nonlinear version of the Li–Yau–Hamilton inequality for the CR Lichnerowicz–Laplacian heat equation coupled with the CR Yamabe flow and trace Harnack inequality for the CR Yamabe flow.
SDGs
Type
journal article