Liouville theorems for the ancient solution of heat flows
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- by Meng Wang PDF
- Proc. Amer. Math. Soc. 139 (2011), 3491-3496 Request permission
Abstract:
Let $M$ be a complete Riemannian manifold with Ricci curvature bounded from below: $Ric(M)\ge -\kappa$. 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.References
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Additional Information
- Meng Wang
- Affiliation: Department of Mathematics, Zhejiang University, Hangzhou, 310027, People’s Republic of China
- Email: mathdreamcn@zju.edu.cn
- Received by editor(s): August 18, 2010
- Published electronically: May 24, 2011
- Additional Notes: The author’s research was partially supported by NSFC 10701064, 10931001
- Communicated by: Michael T. Lacey
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 3491-3496
- MSC (2010): Primary 35K05, 58J35
- DOI: https://doi.org/10.1090/S0002-9939-2011-11170-5
- MathSciNet review: 2813381