On Quasi-Hemi-Slant Riemannian Submersion
S. Longwap *
Department of Mathematics, Faculty of Natural Sciences, University of Jos, Plateau State, Nigeria.
F. Massamba
School of Mathematics, Statistics and Computer Science, University of Kwazulu-Natal, South Africa.
N. E. Homti
Department of Mathematics, Faculty of Natural Sciences, University of Jos, Plateau State, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
We recall the notions of invariant, anti-invarian, semi-invariant, slant, semi-slant, quasi-slant and hemi-slant Riemannian submersions from almost Hermitian manifolds to a Riemannian manifolds. In this paper we contruct a Riemannian submersion which generalizes hemi-slant, semi-slant and semi-invariant Riemanian submersions from almost Hermitian manifold to a Riemannian manifold and study its geometry.
Keywords: Hermitian manifold, riemannian manifold, submersion.