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arxiv: 1112.0650 · v1 · pith:7H4CGTRSnew · submitted 2011-12-03 · 🧮 math.DG

Slant submanifolds of quaternionic space forms

classification 🧮 math.DG
keywords quaternionicslantspaceformsbundleconcerningcurvatureestablish
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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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