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On the cr analogue of reilly formula and yau eigenvalue conjecture

Shu-Cheng Chang National Taiwan University Chih-Wei Chen National Taiwan University Chin-Tung Wu National Pingtung University

Differential Geometry mathscidoc:1611.10003

In this paper, we derive the CR Reilly'’s formula and its applications to studying of the fi…rst eigenvalue estimate for CR Dirichlet eigenvalue problem and embedded p-minimal hypersurfaces. In particular, we obtain the …first Dirichlet eigenvalue estimate in a compact pseudo-hermitian manifold with boundary and the fi…rst eigenvalue estimate of the tangential sublaplacian on closed oriented embedded p-minimal hypersurfaces in a closed pseudohermitian manifold of vanishing torsion.
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@inproceedings{shu-chengon,
  title={ON THE CR ANALOGUE OF REILLY FORMULA AND YAU EIGENVALUE CONJECTURE},
  author={Shu-Cheng Chang, Chih-Wei Chen, and Chin-Tung Wu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20161101101413231938605},
}
Shu-Cheng Chang, Chih-Wei Chen, and Chin-Tung Wu. ON THE CR ANALOGUE OF REILLY FORMULA AND YAU EIGENVALUE CONJECTURE. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20161101101413231938605.
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