Complete Pseudohermitian Manifolds with Positive Spectrum

Shu Cheng Chang, Jui-Tang Chen, Ting-Jung Kuo

研究成果: 雜誌貢獻文章

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
頁(從 - 到)92-107
頁數16
期刊Journal of Geometric Analysis
25
發行號1
DOIs
出版狀態已發佈 - 2013 一月 1

ASJC Scopus subject areas

  • Geometry and Topology

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