Nonnegativity of CR Paneitz Operator and Its Application to the CR Obata's Theorem

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/27953

Title:	Nonnegativity of CR Paneitz Operator and Its Application to the CR Obata's Theorem
Authors:	Chang,SC;Chiu,HL
Contributors:	數學研究所
Keywords:	EIGENVALUE;MANIFOLD
Date:	2009
Issue Date:	2010-06-29 19:38:47 (UTC+8)
Publisher:	中央大學
Abstract:	In this paper, we first prove the CR analogue of M. Obata's theorem on a closed pseudohermitian (2n+1)-manifold with free pseudohermitian torsion. Secondly, we have the CR analogue of Li-Yau's eigenvalue estimate on the lower bound estimate of positive first eigenvalue of the sub-Laplacian on a closed pseudohermitian (2n+1)-manifold with a more general curvature condition for na parts per thousand yen2. The key step is a discovery of CR analogue of Bochner formula which involving the CR Paneitz operator and nonnegativity of CR Paneitz operator P (0) for na parts per thousand yen2.
Relation:	JOURNAL OF GEOMETRIC ANALYSIS
Appears in Collections:	[Graduate Institute of Mathematics] journal & Dissertation

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