Pointwise planar horizontal sections along Riemannian submersions

Bozdağ, Şerife Nur; Şahin, Bayram

doi:10.2298/fil1810549b

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2020

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“…Such submanifolds were studied widely by many authors and many nice geometric properties of such submanifolds have been found, see [11]. On the other hand, the notion of planar horizontal sections for Riemannian submersions has been introduced in [7].…”

Section: Introductionmentioning

confidence: 99%

Isotropic Riemannian submersions

Erdoğan¹,

Şahin²

2020

Turk J Math

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In this paper, we present the notion of isotropic submersions between Riemannian manifolds. We first give examples to illustrate this new notion. Then we express a characterization in terms of O'Neill's tensor field T and examine certain relations between sectional curvatures of the total manifold and the base manifold. We also study λ-isotropic submersions with pointwise planar horizontal sections.

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Section: Introductionmentioning

confidence: 99%