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- Title
Slant submersions from almost product Riemannian manifolds.
- Authors
GÜUNDÜUZALP, Yılmaz
- Abstract
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.
- Subjects
SUBMERSIONS (Mathematics); RIEMANNIAN manifolds; RIEMANNIAN submersions; GEOMETRY; MATHEMATICAL analysis; MANIFOLDS (Mathematics)
- Publication
Turkish Journal of Mathematics, 2013, Vol 37, Issue 5, p863
- ISSN
1300-0098
- Publication type
Article
- DOI
10.3906/mat-1205-64