Cohomogeneity One Einstein-Sasaki 5-Manifolds |
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Authors: | Diego Conti |
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Institution: | (1) Dipartimento di Matematica e Applicazioni, Università di Milano Bicocca, Via Cozzi 53, 20125 Milano, Italy |
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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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Keywords: | |
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