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.

Conti, D. (2007). Cohomogeneity one Einstein-Sasaki 5-manifolds. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 274(3), 751-774 [10.1007/s00220-007-0286-3].

Cohomogeneity one Einstein-Sasaki 5-manifolds

CONTI, DIEGO
2007

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.
Articolo in rivista - Articolo scientifico
Einstein-Sasaki, cohomogeneity one
English
2007
274
3
751
774
open
Conti, D. (2007). Cohomogeneity one Einstein-Sasaki 5-manifolds. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 274(3), 751-774 [10.1007/s00220-007-0286-3].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/5426
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