Infinite geodesic rays in the space of Kahler potentials

Details Infinite geodesic rays in the space of Kahler potentials Infinite geodesic rays in the space of Kahler potentials

2002-10-24

arxiv.org/abs/math/0210389v1

Mathematics

Differential Geometry

17 pages

Scientific paper

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.

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