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Cyclic homogeneous Riemannian manifolds

AutorGadea, Pedro M. ; González-Dávila, J.C.; Oubiña, J.A.
Palabras claveCyclic and traceless cyclic homogeneous Riemannian manifold
Homogeneous Riemannian structure
Fecha de publicación2014
ResumenIn spin geometry, traceless cyclic homogeneous Riemannian manifolds equipped with a homogeneous spin structure can be viewed as the simplest manifolds after Riemannian symmetric spin spaces. In this paper, we give some characterizations and properties of cyclic and traceless cyclic homogeneous Riemannian manifolds and we obtain the classification of simply-connected cyclic homogeneous Riemannian manifolds of dimension less than or equal to four. We also present a wide list of examples of non-compact irreducible Riemannian 3-symmetric spaces admitting cyclic metrics and give the expression of these metrics.
Descripción19 pags.
URIhttp://hdl.handle.net/10261/100428
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