Regularity of geodesic rays and Monge-Ampere equations
Differential Geometry
2009-08-06 v1 Complex Variables
Abstract
It is shown that the geodesic rays constructed as limits of Bergman geodesics from a test configuration are always of class . An essential step is to establish that the rays can be extended as solutions of a Dirichlet problem for a Monge-Ampere equation on a Kaehler manifold which is compact.
Cite
@article{arxiv.0908.0556,
title = {Regularity of geodesic rays and Monge-Ampere equations},
author = {D. H. Phong and Jacob Sturm},
journal= {arXiv preprint arXiv:0908.0556},
year = {2009}
}