Title of article :
Horizontally submersions of contact CR-submanifolds
Author/Authors :
MASSAMBA, FORTUNE University of KwaZulu-Natal - School of Mathematics, Statistics, and Computer Science, South Africa , Tshikuna-Matamba, Tshikunguila University of South Africa - College of Science, Engineering, and Technology - Department of Mathematical Sciences, South Africa
From page :
436
To page :
453
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.
Keywords :
CR , submanifold , almost Hermitian manifold , almost contact metric submersion , symplectic manifold , horizontal submersion
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
Record number :
2531466
Link To Document :
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