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    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:[數學研究所] 期刊論文

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