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On Eta-Einstein Sasakian Geometry

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arxiv math/0406627 v4 pith:GCBYAPZA submitted 2004-06-30 math.DG hep-th

Charles P. Boyer , Krzysztof Galicki , Paola Matzeu This is my paper · ORCID
classification math.DGhep-th
keywords eta-einsteingeometryexistencemanifoldssasakianstructurescalabiclass
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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.

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