Slant submanifolds of quaternionic space forms

Gabriel Eduard Vilcu

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arXiv · 1112.0650

Slant submanifolds of quaternionic space forms

Gabriel Eduard Vilcu

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Abstract

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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Gabriel Eduard Vilcu. 2011-12-03. Slant submanifolds of quaternionic space forms. https://arxiv.org/abs/1112.0650

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