Infinite geodesic rays in the space of Kahler potentials

Claudio Arezzo; Gang Tian

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Infinite geodesic rays in the space of Kahler potentials

Claudio Arezzo·Gang Tian

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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.

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Claudio Arezzo, Gang Tian. 2002-10-24. Infinite geodesic rays in the space of Kahler potentials. https://arxiv.org/abs/math/0210389

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