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| Generalized Maximum Principles and Stochastic Completeness for Pseudo-Hermitian Manifolds* |
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Citation： |
Yuxin DONG,Weike YU.Generalized Maximum Principles and Stochastic Completeness for Pseudo-Hermitian Manifolds*[J].Chinese Annals of Mathematics B,2022,43(6):949~976 |
| Page view： 1284
Net amount： 848 |
Authors： |
Yuxin DONG; Weike YU |
Foundation： |
National Natural Science Foundation of China (Nos. 11771087, 12171091),LMNS, Fudan, Jiangsu Funding Program for Excellent Postdoctoral Talent (No. 2022ZB281) and the Fundamental Research Funds for the Central Universities (No. 30922010410). |
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| Abstract： |
In this paper, the authors establish a generalized maximum principle for pseudoHermitian manifolds. As corollaries, Omori-Yau type maximum principles for pseudoHermitian manifolds are deduced. Moreover, they prove that the stochastic completeness for the heat semigroup generated by the sub-Laplacian is equivalent to the validity of a weak form of the generalized maximum principles. Finally, they give some applications of these generalized maximum principles. |
Keywords： |
Pseudo-Hermitian manifold, Omori-Yau type maximum principles,Stochastic completeness |
Classification： |
32V20, 53C25 |
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