Regularity of geodesic rays and Monge-Ampere equations

Details Regularity of geodesic rays and Monge-Ampere equations Regularity of geodesic rays and Monge-Ampere equations

2009-08-04

arxiv.org/abs/0908.0556v1

Mathematics

Differential Geometry

Scientific paper

It is shown that the geodesic rays constructed as limits of Bergman geodesics
from a test configuration are always of class $C^{1,\alpha}, 0<\alpha<1$. 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.

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