paper

Infinite geodesic rays in the space of Kahler potentials

arXiv:math/0210389

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.

17 pages

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