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Sasakian Geometry and Einstein Metrics on Spheres

Charles P. Boyer, Krzysztof Galicki

math.DGarXiv:math/0505221

Abstract

This paper is based on a talk presented by the first author at the Short Program on Riemannian Geometry that took place at the Centre de Recherche Mathématiques, Université de Montréal, during the period June 28-July 16, 2004. It is a report on our joint work with János Kollár concerning the existence of an abundance of Einstein metrics on odd dimensional spheres, including exotic spheres.

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