Uniqueness of Kähler-Einstein cone metrics

Thalia Jeffres

doi:10.5565/publmat_44200_04

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Uniqueness of Kähler-Einstein cone metrics

Thalia Jeffres

Year: 2000 Journal: Publicacions Matemàtiques Vol: 44 Pages: 437-448 Publisher: Autonomous University of Barcelona

DOI: 10.5565/publmat_44200_04

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Abstract

The purpose of this paper is to describe a method to construct a Kähler metric with cone singularity along a divisor and to illustrate a type of maximum principle for these incomplete metrics by showing that Kähler-Einstein metrics are unique in geometric Hölder spaces.

Keywords:

Mathematics Einstein Uniqueness Cone (formal languages) Metric (unit) Singularity Divisor (algebraic geometry) Pure mathematics Equivalence of metrics Construct (python library) Type (biology) Mathematical analysis Metric space Convex metric space Mathematical physics Algorithm Computer science

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Geometry and complex manifolds

Physical Sciences → Mathematics → Geometry and Topology

Geometric Analysis and Curvature Flows

Physical Sciences → Mathematics → Applied Mathematics

Advanced Differential Geometry Research

Physical Sciences → Physics and Astronomy → Astronomy and Astrophysics

Uniqueness of Kähler-Einstein cone metrics

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