摘要
In this paper, we study complete noncompact pseudohermitian manifolds with positive spectrum of the sub-Laplacian. We prove splitting-type theorems for a class of complete noncompact pseudohermitian manifolds with vanishing torsion whose spectrum of the sub-Laplacian has an optimal positive lower bound. These can be viewed as the CR analogue of theorems of Li–Wang and the equality case of a theorem of Cheng.
原文 | 英語 |
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頁(從 - 到) | 92-107 |
頁數 | 16 |
期刊 | Journal of Geometric Analysis |
卷 | 25 |
發行號 | 1 |
DOIs | |
出版狀態 | 已發佈 - 2013 1月 |
ASJC Scopus subject areas
- 幾何和拓撲