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- Title
Semi-invariant -Riemannian submersions from almost contact metric manifolds.
- Authors
Akyol, Mehmet Akif; Sarı, Ramazan; Aksoy, Elif
- Abstract
As a generalization of anti-invariant -Riemannian submersions, we introduce semi-invariant -Riemannian submersions from Sasakian manifolds onto Riemannian manifolds. We give examples, investigating the geometry of foliations which arise from the definition of a Riemannian submersion and proving a necessary and sufficient condition for a semi-invariant -Riemannian submersion to be totally geodesic. Moreover, we study semi-invariant -Riemannian submersions with totally umbilical fibers.
- Subjects
SUBMERSIONS (Mathematics); RIEMANNIAN submersions; RIEMANNIAN geometry; SASAKIAN manifolds; FOLIATIONS (Mathematics)
- Publication
International Journal of Geometric Methods in Modern Physics, 2017, Vol 14, Issue 5, p-1
- ISSN
0219-8878
- Publication type
Article
- DOI
10.1142/S0219887817500748