We introduce a class of special geometries associated to the choice of a differential graded algebra contained in Λ*ℝn. We generalize some known embedding results, that effectively characterize the real analytic Riemannian manifolds that can be realized as submanifolds of a Riemannian manifold with special holonomy, to this more general context. In particular, we consider the case of hypersurfaces inside nearly-Kähler and α-Einstein-Sasaki manifolds, proving that the corresponding evolution equations always admit a solution in the real analytic case. © 2010 Springer-Verlag.

Conti, D. (2011). Embedding into manifolds with torsion. MATHEMATISCHE ZEITSCHRIFT, 268(3-4), 725-751 [10.1007/s00209-010-0692-7].

Embedding into manifolds with torsion

CONTI, DIEGO
2011

Abstract

We introduce a class of special geometries associated to the choice of a differential graded algebra contained in Λ*ℝn. We generalize some known embedding results, that effectively characterize the real analytic Riemannian manifolds that can be realized as submanifolds of a Riemannian manifold with special holonomy, to this more general context. In particular, we consider the case of hypersurfaces inside nearly-Kähler and α-Einstein-Sasaki manifolds, proving that the corresponding evolution equations always admit a solution in the real analytic case. © 2010 Springer-Verlag.
No
Articolo in rivista - Articolo scientifico
Scientifica
Embedding, Special geometries, Cartan-Kähler
English
725
751
27
Conti, D. (2011). Embedding into manifolds with torsion. MATHEMATISCHE ZEITSCHRIFT, 268(3-4), 725-751 [10.1007/s00209-010-0692-7].
Conti, D
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/7997
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