Complete Pseudohermitian Manifolds with Positive Spectrum

Shu Cheng Chang; Jui Tang Chen; Ting Jung Kuo

doi:10.1007/s12220-013-9414-9

Complete Pseudohermitian Manifolds with Positive Spectrum

Shu Cheng Chang
, Jui Tang Chen^*
, Ting Jung Kuo

^*此作品的通信作者

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

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
卷	25
發行號	1
DOIs	https://doi.org/10.1007/s12220-013-9414-9
出版狀態	已發佈 - 2013 1月

ASJC Scopus subject areas

幾何和拓撲

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10.1007/s12220-013-9414-9

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abstract = "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.",

keywords = "Nonparabolicity, Parabolicity, Positive spectrum, Pseudoharmonic function, Sub-Laplacian, Webster metric",

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note = "Publisher Copyright: {\textcopyright} 2013, Mathematica Josephina, Inc.",

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doi = "10.1007/s12220-013-9414-9",

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AB - 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.

KW - Nonparabolicity

KW - Parabolicity

KW - Positive spectrum

KW - Pseudoharmonic function

KW - Sub-Laplacian

KW - Webster metric

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Complete Pseudohermitian Manifolds with Positive Spectrum

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