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- Title
Horizontally submersions of contact C R-submanifolds.
- Authors
MASSAMBA, Fortuné; TSHIKUNA-MATAMBA, Tshikunguila
- Abstract
In this paper, we discuss some geometric properties of almost contact metric submersions involving symplectic manifolds. We show that the structures of quasi-K-cosymplectic and quasi-Kenmotsu manifolds are related to (1,2)-symplectic structures. For horizontally submersions of contact CR-submanifolds of quasi-K-cosymplectic and quasi-Kenmotsu manifolds, we study the principal characteristics and prove that their total spaces are CR -product. Curvature properties between curvatures of quasi-K-cosymplectic and quasi-Kenmotsu manifolds and the base spaces of such submersions are also established. We finally prove that, under a certain condition, the contact CR-submanifold of a quasi Kenmotsu manifold is locally a product of a totally geodesic leaf of an integrable horizontal distribution and a curve tangent to the normal distribution.
- Subjects
SUBMERSIONS (Mathematics); CR submanifolds; CHARACTERISTIC functions; GEODESICS; GAUSSIAN distribution; ALMOST contact manifolds
- Publication
Turkish Journal of Mathematics, 2014, Vol 38, Issue 3, p436
- ISSN
1300-0098
- Publication type
Article
- DOI
10.3906/mat-1303-44