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On Eta-Einstein Sasakian Geometry
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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.
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Cited by 1 Pith paper
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Charged and rotating near-horizon geometries in five dimensions
New analytic charged rotating near-horizon geometries in 5D Einstein-Maxwell are constructed and shown to be the most general extremal rotating horizons with constant co-rotating electric field under Sasakian structure.
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