EUDML | Einstein metrics on rational homology 7-spheres

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Displaying similar documents to “Einstein metrics on rational homology 7-spheres”

Sasakian geometry, hypersurface singularities, and Einstein metrics

Boyer, Charles P., Galicki, Krzysztof

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Einstein metrics on exotic spheres in dimensions 7, 11 and 15.

Boyer, Charles P., Galicki, Krzysztof, Kollár, János, Thomas, Evan (2005)

Experimental Mathematics

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A polynomial invariant of rational homology 3-spheres.

Tomotada Ohtsuki (1996)

Inventiones mathematicae

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A. Nabutovsky (1995)

Geometric and functional analysis

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Face enumeration—from spheres to manifolds

Ed Swartz (2009)

Journal of the European Mathematical Society

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The algebraic geometry of representation spaces associated to Seifert fibered homology 3-spheres.

Christian Okonek, Stefan Bauer (1990)

Mathematische Annalen

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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.