Sasakian geometry and Einstein metrics on  spheres

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article , Preprint 26 Jun 2006Embargo end date: 01 Jan 2005Publisher:American Mathematical Society (AMS)

Authors: Boyer, Charles P.; Galicki, Krzysztof;

doi: 10.1090/crmp/040/03 , 10.48550/arxiv.math/0505221

arXiv: math/0505221

Sasakian geometry and Einstein metrics on spheres

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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 Math��matiques, Universit�� de Montr��al, during the period June 28-July 16, 2004. It is a report on our joint work with J��nos Koll��r concerning the existence of an abundance of Einstein metrics on odd dimensional spheres, including exotic spheres.

14 pages, Expository paper to appear in the Proceedings of the Short Program on Riemannian Geometry

Keywords

Mathematics - Differential Geometry, Mathematics - Algebraic Geometry, Differential Geometry (math.DG), FOS: Mathematics, Algebraic Geometry (math.AG)

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