Complete Pseudohermitian Manifolds with Positive Spectrum

Shu Cheng Chang, Jui Tang Chen, Ting Jung Kuo

研究成果: Article

抄録

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.

元の言語English
ページ(範囲)92-107
ページ数16
ジャーナルJournal of Geometric Analysis
25
発行部数1
DOI
出版物ステータスPublished - 2013
外部発表Yes

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Sub-Laplacian
Noncompact Manifold
Theorem
Torsion
Equality
Lower bound
Analogue
Class

ASJC Scopus subject areas

  • Geometry and Topology

これを引用

Complete Pseudohermitian Manifolds with Positive Spectrum. / Chang, Shu Cheng; Chen, Jui Tang; Kuo, Ting Jung.

:: Journal of Geometric Analysis, 巻 25, 番号 1, 2013, p. 92-107.

研究成果: Article

Chang, Shu Cheng ; Chen, Jui Tang ; Kuo, Ting Jung. / Complete Pseudohermitian Manifolds with Positive Spectrum. :: Journal of Geometric Analysis. 2013 ; 巻 25, 番号 1. pp. 92-107.
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