Differential Harnack Inequalities Under a Coupled Ricci Flow

作者：Wang, Lin Feng^*

来源：Mathematical Physics, Analysis and Geometry, 2012, 15(4): 343-360.

DOI：10.1007/s11040-012-9115-9

• Ricci flow
• Differential inequality
• Conjugate heat equation
• Harnack inequality

In this paper, we prove several differential Harnack inequalities under a coupled Ricci flow. As applications, we get Harnack inequalities for positive solutions of backward heat-type equations with potentials under the coupled Ricci flow. We also derive Perelman's differential Harnack inequality for fundamental solution of the conjugate heat equation under the Ricci flow.

• 出版日期2012-12
• 单位南通大学