Displaying similar documents to “Kähler-Einstein metrics singular along a smooth divisor”

Uniqueness of Kähler-Einstein cone metrics.

Thalia D. Jeffres (2000)

Publicacions Matemàtiques

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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.

Symmetries and Kähler-Einstein metrics

Claudio Arezzo, Alessandro Ghigi (2005)

Bollettino dell'Unione Matematica Italiana

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We consider Fano manifolds M that admit a collection of finite automorphism groups G 1 , ... , G k , such that the quotients M / G i are smooth Fano manifolds possessing a Kähler-Einstein metric. Under some numerical and smoothness assumptions on the ramification divisors, we prove that M admits a Kähler-Einstein metric too.

Heat flows for extremal Kähler metrics

Santiago R. Simanca (2005)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Let ( M , J , Ω ) be a closed polarized complex manifold of Kähler type. Let G be the maximal compact subgroup of the automorphism group of ( M , J ) . On the space of Kähler metrics that are invariant under G and represent the cohomology class Ω , we define a flow equation whose critical points are the extremal metrics,those that minimize the square of the L 2 -norm of the scalar curvature. We prove that the dynamical system in this space of metrics defined by the said flow does not have periodic orbits, and...