DATE2018-03-28 16:10-17:00


SPEAKER吳進通 教授(屏東大學應用數學系

TITLEOn 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.