Uniqueness of Kähler-Einstein cone metrics

By Thalia D. Jeffres. 2000

56 citations recorded by the source corpus.

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

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/8c94d6a0d84fb2746069b897e534e97df02564d1

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In Applied Mathematics

In Astronomy and Astrophysics

In Geometry and Topology

Citations in the corpus

Kähler Metrics with Cone Singularities Along a Divisor (2011, background): “First and foremost, singular metrics of this kind have been considered before by Jeffres [6],[7] and Mazzeo [11].”
Metrics with cone singularities along normal crossing divisors and holomorphic tensor fields (2011, background): “Jeffres ([19]) studied the uniqueness under the same assumptions.”
Kahler-Einstein metrics with edge singularities (2011, methodology): “These barrier functions were introduced in [26].”
Smooth and singular Kahler-Einstein metrics (2014, background): “This conjecture, similarly to Calabi’s original conjecture, was also first stated as a theorem in Jeffres’ Ph.D. thesis [142, 242], but subsequently only the uniqueness was published [143] due to the need of a priori estimates, as well as a good linear theory.”