Slant submanifolds of quaternionic space forms

Details Slant submanifolds of quaternionic space forms Slant submanifolds of quaternionic space forms

2011-12-03

arxiv.org/abs/1112.0650v1

Mathematics

Differential Geometry

Accepted for publication in Publicationes Mathematicae Debrecen

Scientific paper

In this paper we establish some inequalities concerning the $k$-Ricci
curvature of a slant submanifold in a quaternionic space form. We also obtain
obstructions to the existence of quaternionic slant immersions in quaternionic
space forms with unfull first normal bundle.

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