On the CR analogue of Obata's theorem in a pseudohermitian 3-manifold

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題名:	On the CR analogue of Obata's theorem in a pseudohermitian 3-manifold
作者:	Chang,SC;Chiu,HL
貢獻者:	數學研究所
關鍵詞:	1ST EIGENVALUE;SUB-LAPLACIAN;MANIFOLDS;SUBLAPLACIAN;CURVATURE
日期:	2009
上傳時間:	2010-06-29 19:38:52 (UTC+8)
出版者:	中央大學
摘要:	In this paper, we first prove the CR analogue of Obata's theorem on a closed pseudohermitian 3-manifold with zero pseudohermitian torsion. Secondly, instead of zero torsion, we have the CR analogue of Li-Yau's eigenvalue estimate on the lower bound estimate of positive first eigenvalue of the sub-Laplacian in a closed pseudohermitian 3-manifold with nonnegative CR Paneitz operator P (0). Finally, we have a criterion for the positivity of first eigenvalue of the sub-Laplacian on a complete noncompact pseudohermitian 3-manifold with nonnegative CR Paneitz operator. The key step is a discovery of integral CR analogue of Bochner formula which involving the CR Paneitz operator.
關聯:	MATHEMATISCHE ANNALEN
顯示於類別:	[數學研究所] 期刊論文

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