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arXiv · 1503.07639

On the CR Analogue of Reilly Formula and Yau Eigenvalue Conjecture

Shu-Cheng Chang·Chih-Wei Chen·Chin-Tung Wu
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Abstract

In this paper, we derive the CR Reilly's formula and its applications to studying of the first eigenvalue estimate for CR Dirichlet eigenvalue problem and embedded p-minimal hypersurfaces. In particular, we obtain the first Dirichlet eigenvalue estimate in a compact pseudohermitian (2n+1)-manifold with boundary and the first eigenvalue estimate of the tangential sublaplacian on closed oriented embedded p-minimal hypersurfaces in a closed pseudohermitian (2n+1)-manifold of vanishing torsion.

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Shu-Cheng Chang, Chih-Wei Chen, Chin-Tung Wu. 2015-05-29. On the CR Analogue of Reilly Formula and Yau Eigenvalue Conjecture. https://arxiv.org/abs/1503.07639

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