黎曼流形上一类指数调和型热方程的梯度估计

Gradient Estimate for an Exponentially Harmonic Type Heat Equation on Riemannian Manifolds

中文关键词:  梯度估计  指数调和型热方程  黎曼流形  Liouville定理

英文关键词:Gradient estimate  exponentially harmonic type heat equation  Riemannian manifold  Liouville theorem

中文摘要:

      本文我们推到了黎曼流形上指数调和型热方程的一个Hamilton-Souplet-Zhang型梯度估计. 利用这个估计, 我们得到了一个Liouville型定理.

英文摘要:

      In this paper, we derive a Hamilton-Souplet-Zhang type gradient estimate for exponentially harmonic type heat equation on Riemannian manifolds. As its application, we obtain a Liouville type theorem.