期刊
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
卷 139, 期 10, 页码 3491-3496出版社
AMER MATHEMATICAL SOC
DOI: 10.1090/S0002-9939-2011-11170-5
关键词
Liouville theorem; ancient solution; quasi-harmonic map; heat flow
资金
- NSF of China [10701064, 10931001]
Let M be a complete Riemannian manifold with Ricci curvature bounded from below: Ric(M) >= -kappa. Let N be a simply connected complete Riemannian manifold with nonpositive sectional curvature. Using a gradient estimate, we prove Liouville's theorem for the ancient solution of heat flows.
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