Geometry in the space of Kähler potentials

Tamas Darvas, Purdue University

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

COinS