Bergman metrics and geodesics in the space of Kahler metrics
- Date: 01/11/2007
Lecturer(s):
Jian Song (John Hopkins University)
Location:
University of British Columbia
Topic:
The space of positively curved hermitian metrics on a positive
holomorphic line bundle over a compact complex manifold is an
infinite-dimensional symmetric space. It is shown by Phong and Sturm
that geodesics in this space can be uniformly approximated by geodesics
in the finite dimensional spaces of Bergman metrics. We prove a
stronger C2-approximation in the case of toric manifolds. This is a
joint work with Steve Zelditch.
Other Information:
DG-MP-PDE Seminar 2007
Sponsor:
