On the CR Analogue of Reilly Formula and Yau Eigenvalue Conjecture
Differential Geometry
2015-06-01 v2
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.
Keywords
Cite
@article{arxiv.1503.07639,
title = {On the CR Analogue of Reilly Formula and Yau Eigenvalue Conjecture},
author = {Shu-Cheng Chang and Chih-Wei Chen and Chin-Tung Wu},
journal= {arXiv preprint arXiv:1503.07639},
year = {2015}
}
Comments
22 pages. We generalize results to higher dimensional pseudohermitian manifolds. Some references are added