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Cohomogeneity One Einstein-Sasaki 5-Manifolds

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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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Authors and Affiliations

  1. Dipartimento di Matematica e Applicazioni, Università di Milano Bicocca, Via Cozzi 53, 20125, Milano, Italy

    Diego Conti

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  1. Diego Conti
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Correspondence to Diego Conti.

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Communicated by G.W. Gibbons

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Conti, D. Cohomogeneity One Einstein-Sasaki 5-Manifolds. Commun. Math. Phys. 274, 751–774 (2007). https://doi.org/10.1007/s00220-007-0286-3

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  • DOI: https://doi.org/10.1007/s00220-007-0286-3

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