Geometry in the space of Kähler potentials
Abstract
Let (Xn,omega) be a connected compact Kähler manifold. Following Mabuchi, one can intoduce a Riemannian metric on the space of Kahler potentials H. The resulting abstract Riemannian manifold received attention after Donaldson linked existence and uniqueness of constant scalar curvature Kähler metrics with properties of H. In this thesis we explore the geometry of this space.
Degree
Ph.D.
Advisors
Lempert, Purdue University.
Subject Area
Mathematics
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