Einstein metrics and smooth structures.

Kotschick, D.

Displaying similar documents to “Einstein metrics and smooth structures.”

Einstein manifolds, volume rigidity and Seiberg-Witten theory

Andrea Sambusetti (1998-1999)

Séminaire de théorie spectrale et géométrie

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Einstein manifolds of positive scalar curvature with arbitrary second Betti number.

Boyer, Charles P., Galicki, Krzysztof, Mann, Benjamin M., Rees, Elmer G. (1996)

Balkan Journal of Geometry and its Applications (BJGA)

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Sasakian geometry, hypersurface singularities, and Einstein metrics

Boyer, Charles P., Galicki, Krzysztof

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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.

Self-dual Kähler manifolds and Einstein manifolds of dimension four

Andrzej Derdziński (1983)

Compositio Mathematica

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Kähler-Einstein metrics singular along a smooth divisor

Raffe Mazzeo (1999)

Journées équations aux dérivées partielles

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In this note we discuss some recent and ongoing joint work with Thalia Jeffres concerning the existence of Kähler-Einstein metrics on compact Kähler manifolds which have a prescribed incomplete singularity along a smooth divisor $D$ . We shall begin with a general discussion of the problem, and give a rough outline of the “classical” proof of existence in the smooth case, due to Yau and Aubin, where no singularities are prescribed. Following this is a discussion of the geometry of the conical...