Name: Yongfa Chen, lecturer
Address: School of Mathematics and Statistics, Central China Normal University, Wuhan, 430079, China
and Systems Science, 2009. Dissertation: LOWER BOUNDS FOR EIGENVALUES OF THE DIRAC-type OPERATOR.
Advisor: Professor Hongcang Yang and Xiao Zhang.
M.A. Mathematics, Xiamen University, 2006.
B.A. Mathematics, Nanchang University, 2003.
RESEARCH INTERESTS AND CURRENT RESEARCH WORKS
LOWER BOUNDS FOR EIGENVALUES OF THE DIRAC-Witten OPERATOR.
We get optimal lower bounds for the eigenvalues of the Dirac-Witten operator of compact (with or without boundary) spin spacelike hypersurfaces of a Lorentian manifold in terms of the mean curvature and the scalar curvature and the energy-momentum tensor. In the limiting case, we find the spacelike hypersurface has constant Ricci curvature and mean curvature.
Currently, we are doing some research on foliations and related vanishing theorems.