Colloquium | |
DATE | 2018-03-28 16:10-17:00 |
PLACE | 數學館3174教室 |
SPEAKER | 吳進通 教授(屏東大學應用數學系) |
TITLE | On the CR Reilly Formula |
ABSTRACT | In this talk, we derive the CR Reilly’s formula and its applications to studying of the first eigenvalue estimate for CR Dirichlet eigenvalue problem, embedded p-minimal hypersurfaces and CR Minkowski’s inequality. In particular, we obtain the first Dirichlet eigenvalue estimate in a compact pseudohermitian manifold with boundary, the first eigenvalue estimate of the tangential sublaplacian on closed oriented embedded p-minimal hypersurfaces in a closed pseudohermitian manifold of vanishing torsion, and the CR Minkowski’s inequality for convex body with boundary immersed in a pseudohermitian manifold with some curvature conditions. This is a joint work with Shu-Cheng Chang, Chih-Wei Chen and Yen-Chang Huang. |