On a class of submanifolds in tangent bundle with g- natural metric
Differential Geometry
2014-11-13 v1
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.
Cite
@article{arxiv.1411.3274,
title = {On a class of submanifolds in tangent bundle with g- natural metric},
author = {Stanisław Ewert-Krzemieniewski},
journal= {arXiv preprint arXiv:1411.3274},
year = {2014}
}
Comments
Key words: Riemannian manifold, tangent bundle, g - natural metric, submanifold, izometric immersion, non-degenerate metric