Homogeneous Einstein-like metrics on spheres and projective spaces
نویسندگان
چکیده
منابع مشابه
Einstein Metrics on Spheres
Any sphere S admits a metric of constant sectional curvature. These canonical metrics are homogeneous and Einstein, that is the Ricci curvature is a constant multiple of the metric. The spheres S, m > 1 are known to have another Sp(m + 1)-homogeneous Einstein metric discovered by Jensen [Jen73]. In addition, S has a third Spin(9)-invariant homogeneous Einstein metric discovered by Bourguignon a...
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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 [BGK03] concerning the existence of an abundance of Einstein metrics on odd dimensional spheres, including exotic spher...
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ژورنال
عنوان ژورنال: Differential Geometry and its Applications
سال: 2016
ISSN: 0926-2245
DOI: 10.1016/j.difgeo.2015.10.001