On a class of submanifolds in tangent bundle with g - natural metric - normal lift · arXivDesk
1607.06918Jul 23, 2016The versions of my article "On a class of submanifolds in tangent bundle with g - natural metric - normal lift" published on Arxiv.org Before April, 23, 2018, contain mistakes. Firstly, starting from Example 7 the assumption codimM > 1 is essential. Secondly, the first formula on page 16 is too short - some terms are omitted. Consequently, the final theorem is not true
On a class of submanifolds in tangent bundle with g - natural metric - normal lift
An isometric immersion of a Riemannian manifold M into a Riemannian manifold N gives rise in a natural way to variety of immersions into the tangent bundle TN with a non-degenerate g− natural metric G. In the paper we introduce and study an immersion into TN