Slant submersions from almost product Riemannian manifolds | Zendy

Yılmaz Gündüzalp | Zendy

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Slant submersions from almost product Riemannian manifolds

Author(s) -

Yılmaz Gündüzalp

Publication year - 2013

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1205-64

Subject(s) - riemannian submersion , submersion (mathematics) , mathematics , product (mathematics) , riemannian geometry , pure mathematics , geodesic , totally geodesic , mathematical analysis , ricci flat manifold , geometry , scalar curvature , curvature , differentiable function

In this paper, we define the concept of almost product Riemannian submersion between almost product Riemannian manifolds. We introduce slant submersions from almost product Riemannian manifolds onto Riemannian manifolds. We give examples and investigate the geometry of foliations that arise from the definition of a Riemannian submersion. We also find necessary and sufficient conditions for a slant submersion to be totally geodesic.

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