Normal curvature of pseudo-umblical submanifolds in a sphere
Differential Geometry
2019-07-16 v1
Abstract
Let M be a compact pseudo-umbilical submanifold of the unit sphere S. In the present note, it is shown that if the normal curvature, scalar curvature S and square of the length of second fundamental form satisfy certain conditions, then M is totally geodesic.
Keywords
Cite
@article{arxiv.1907.06523,
title = {Normal curvature of pseudo-umblical submanifolds in a sphere},
author = {Majid Ali Choudhary},
journal= {arXiv preprint arXiv:1907.06523},
year = {2019}
}