Sasakian Geometry and Einstein Metrics on Spheres

Details Sasakian Geometry and Einstein Metrics on Spheres Sasakian Geometry and Einstein Metrics on Spheres

2005-05-11

arxiv.org/abs/math/0505221v1

Perspectives in Riemannian geometry, CRM Proc. Lecture Notes, 40, 2006, 47-61.

Mathematics

Differential Geometry

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

Scientific paper

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\'ematiques, Universit\'e de Montr\'eal, during the period June 28-July 16, 2004. It is a report on our joint work with J\'anos Koll\'ar concerning the existence of an abundance of Einstein metrics on odd dimensional spheres, including exotic spheres.

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