Infinite geodesic rays in the space of Kahler potentials
Differential Geometry
2007-05-23 v1 Symplectic Geometry
Abstract
In this paper we explore the connection between special degenerations of algebraic manifolds and geodesics in the space of Kahler metrics. We provide a new and general geometric construction of nontrivial solutions for the geodesic equation. We show how to associate to any special nontrivial degeneration a geodesic of inifite length.
Keywords
Cite
@article{arxiv.math/0210389,
title = {Infinite geodesic rays in the space of Kahler potentials},
author = {Claudio Arezzo and Gang Tian},
journal= {arXiv preprint arXiv:math/0210389},
year = {2007}
}
Comments
17 pages