On Eta-Einstein Sasakian Geometry

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We study eta-Einstein geometry as a class of distinguished Riemannian metrics on contact metric manifolds. In particular, we use a previous solution of the Calabi problem for Sasakian geometry to prove the existence of eta-Einstein structures on many different compact manifolds, including exotic spheres. We also relate these results to the existence of Einstein-Weyl structures.
31 pages, minor changes made, to appear in Commun. Math. Phys

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Differential Geometry, High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/206704

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0406627
 http://arxiv.org/abs/math/0406627
 Commun.Math.Phys.262:177-208,2006
 doi:10.1007/s00220-005-1459-6

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arXiv