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Cohomogeneity one Einstein-Sasaki 5-manifolds

Diego Conti
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Abstract

We consider hypersurfaces in Einstein-Sasaki 5-manifolds which are tangent to the characteristic vector field. We introduce evolution equations that can be used to reconstruct the 5-dimensional metric from such a hypersurface, analogous to the (nearly) hypo and half-flat evolution equations in higher dimensions. We use these equations to classify Einstein-Sasaki 5-manifolds of cohomogeneity one.

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Diego Conti. 2007-03-19. Cohomogeneity one Einstein-Sasaki 5-manifolds. https://doi.org/10.1007/s00220-007-0286-3

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