A class of locally symmetric Kaehler Einstein structures on the cotangent bundle of a space form

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We obtain a class of locally symmetric Kaehler Einstein structures on the cotangent bundle of a Riemannian manifold of negative sectional curvature. Similar results are obtained in the case of a Riemannian manifold of positive sectional curvature. The obtained class of Kaehler Einstein structures depends on one essential parameter and cannot have constant holomorphic sectional curvature.
13 pages, LaTeX2e

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Differential Geometry, 53C07, 53C15, 53C55

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http://salesiana.dossiersoluciones.com/handle/123456789/71885

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0407241
 http://arxiv.org/abs/math/0407241

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arXiv