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Pointwise planar horizontal sections along Riemannian submersions

Bozdag Şerife Nur
Şahin Bayram

We study Riemannian submersions with pointwise k-planar horizontal sections. We provide examples, obtain characterizations and give a geometric interpretation of such property.

Keywords: Riemannian submersion, planar normal section, warped product manifold, planar horizontal section, Clifford algebra