Geometry and Analysis Seminar

 

Hermitian metric with constant holomorphic sectional curvature on convex domains

 

Dr. W.S. Cheung

The University of Hong Kong

 

Abstract

In 1966, K.H. Look showed that if W is a bounded domain in Image26on which the Bergman metric is complete with constant negative holomorphic sectional curvature, then W is biholomorphic to the euclidean ball.

An open problem in complex differential geometry is to ask to what extent one can relax the Kähler condition in Look’s theorem, or more generally, to try and characterize complete hermitian manifolds with constant negative holomorphic sectional curvature. In this talk, some partical results of this problem will be presented.

Date:

November 8, 2000 (Wednesday)

Time:

4:00 - 5:00pm

Place:

Room 517, Meng Wah Complex

 

 

 

All are welcome