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Abstract: This is the content of a talk given by the author at the 2009 LehighUniversity Geometry-Topology Conference.Using the definition of connection given by Dieudonn\-e, the Sasaki metric onthe tangent bundle to a Riemannian manifold is expressed in a natural way.Also, the following property is established. The induced metric on thetangent bundle of an isometrically embedded submanifold is the Sasaki metric ifand only if the submanifold is totally geodesic.



Autor: Pedro Solórzano

Fuente: https://arxiv.org/







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