On the Geometry of Complex-Contact Riemannian Submersion

S. Longwap; P. T. Ajai; N. Homti

doi:10.9734/JAMCS/2018/40993

Research Article Open access CC BY 4.0

On the Geometry of Complex-Contact Riemannian Submersion

S. Longwap, P. T. Ajai, N. Homti

Journal of Advances in Mathematics and Computer Science · pp. 1–12 · Published 18 Jun 2018

10.9734/JAMCS/2018/40993

Abstract

This paper gives the structure equations of a complex-contact Riemannian submersion and establish that the fiber of this submersion is a contact metric submanifold of the total space. We investigate the vertical and horizontal distributions and obtain necessary and sufficient conditions for the distributions to be totally geodesic foliations. We also obtain some necessary and sufficient conditions of the submersion to be a totally geodesic map.

Riemannian submersion almost Hermitian manifold contact metric manifold.

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S. Longwap, P. T. Ajai, N. Homti (2018). On the Geometry of Complex-Contact Riemannian Submersion. Journal of Advances in Mathematics and Computer Science , 1–12. https://doi.org/10.9734/JAMCS/2018/40993

Affiliations

S. Longwap — Department of Mathematics, Faculty of Natural Sciences, University of Jos, P.M.B. 2084, Plateau State, Nigeria.
P. T. Ajai — Department of Mathematics, Faculty of Natural Sciences, Plateau State University, Bokkos, Plateau State, Nigeria.
N. Homti — Department of Mathematics, Faculty of Natural Sciences, University of Jos, P.M.B. 2084, Plateau State, Nigeria.

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