Speaker:
Xiaodong Wang
Institution:
Michigan State University
Time:
Friday, November 9, 2012 - 3:00pm to 4:00pm
Host:
Location:
RH 114
I will discuss a sharp lower bound for the first positive eigenvalue of the sublaplacian on a closed, strictly pseudoconvex pseudo-hermitian manifold of dimension $2m+1\geq 5$. We prove that the equality holds iff the manifold is equivalent to the CR sphere up to a scaling. The essential step is a characterization of the CR sphere when there is a nonzero function satisfying a certain overdetermined system.
This is joint work with Song-Ying Li.