Stanisław Ewert-Krzemieniewski
Published 2013-10-31Version 1
In the paper we investigate submanifolds in a tangent bundle endowed with g-natural metric G, defined by a vector field on a base manifold. We give a sufficient condition for a vector field on M to defined totally geodesic submanifold in (TM,G). The parallel vector field is discussed in more detail.
Comments: Key words: Riemannian manifold, submanifold, tangent bundle, g - natural metric, totally geodesic, Sasaki metric
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