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Displaying similar documents to “Derivational formulas of a submanifold of a generalized Riemannian space.”

On Riemannian tangent bundles.

Al-Aqeel, Adnan, Bejancu, Aurel (2006)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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Metrization problem for linear connections and holonomy algebras

Alena Vanžurová (2008)

Archivum Mathematicum

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We contribute to the following: given a manifold endowed with a linear connection, decide whether the connection arises from some metric tensor. Compatibility condition for a metric is given by a system of ordinary differential equations. Our aim is to emphasize the role of holonomy algebra in comparison with certain more classical approaches, and propose a possible application in the Calculus of Variations (for a particular type of second order system of ODE’s, which define geodesics...