On a class of submanifolds in tangent bundle with g- natural metric

Abstract

An isometric immersion of a Riemannian manifold M into a Riemannian manifold N gives rise in a natural way to the immersion of the tangent bundle TM into the tangent bundle TN with a non-degenerate g- natural metric G.

arXiv commentKey words: Riemannian manifold, tangent bundle, g - natural metric, submanifold, izometric immersion, non-degenerate metric