On Li-Yau Heat Kernel Estimate

• 作者: Lu LI Zhen Lei ZHANG
• 来源期刊: 数学学报（英文版）
• 年，卷（期）: 2021,（8）
• 页码范围: 1205-1218
• 页数: 14页
• 语种: 英文

摘要

We present some improvements of the Li-Yau heat kernel estimate on a Riemannian man-ifold with Ricci curvature bounded below.As a consequence we prove a gradient estimate to the heat kernel with an optimal leading term.