arXiv:math/0405256 Abstract

arXiv:math/0405256 [math.DG]Abstract References Reviews Resources

Sasakian Geometry, Hypersurface Singularities, and Einstein Metrics

Published 2004-05-13, updated 2004-05-26Version 2

We review our study of Sasakian geometry as an agent for proving the existence of Einstein metrics on odd dimensional manifolds. Particular emphasis is given to the Sasakian structures occuring on links of isolated hypersurface singularities.

Comments: This is an expository article that grew out of notes for the three lectures the second author presented during the XXIV-th Winter School of {\it Geometry and Physics} in Srni, Czech Republic, in January of 2004., 30 pages. Some new examples and references were added

Journal: Supplemento ai Rendiconti del Circolo Matematico di Palermo Serie II. Suppl 75 (2005), 57-87.

Categories: math.DG, hep-th, math.AG

Subjects: 53C25

Keywords: einstein metrics, sasakian geometry, odd dimensional manifolds, isolated hypersurface singularities, sasakian structures occuring

Tags: lecture notes, expository article, journal article

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