{ "id": "math/0505221", "version": "v1", "published": "2005-05-11T16:02:27.000Z", "updated": "2005-05-11T16:02:27.000Z", "title": "Sasakian Geometry and Einstein Metrics on Spheres", "authors": [ "Charles P. Boyer", "Krzysztof Galicki" ], "comment": "14 pages, Expository paper to appear in the Proceedings of the Short Program on Riemannian Geometry", "journal": "Perspectives in Riemannian geometry, CRM Proc. Lecture Notes, 40, 2006, 47-61.", "categories": [ "math.DG", "math.AG" ], "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\\'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.", "revisions": [ { "version": "v1", "updated": "2005-05-11T16:02:27.000Z" } ], "analyses": { "keywords": [ "einstein metrics", "sasakian geometry", "odd dimensional spheres", "exotic spheres", "first author" ], "tags": [ "expository article", "journal article" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......5221B" } } }