Normal curvature of pseudo-umblical submanifolds in a sphere

Majid Ali Choudhary

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arXiv · 1907.06523

Normal curvature of pseudo-umblical submanifolds in a sphere

Majid Ali Choudhary

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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.

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Majid Ali Choudhary. 2019-07-09. Normal curvature of pseudo-umblical submanifolds in a sphere. https://arxiv.org/abs/1907.06523

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