g-Natural metrics of constant sectional curvature

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We prove that the tangent bundle endowed with a g-natural metrics has constant sectional curvature if and only if it is flat, and then we give a characterization of flat g-natural metrics on tangent bundles.

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Differential Geometry, 53B20; 53C07

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http://salesiana.dossiersoluciones.com/handle/123456789/168913

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0809.1992
 http://arxiv.org/abs/0809.1992

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arXiv