Local Orthonormal Basis of the Fibres of Quasi-Hemi-Slant Riemannian Submersion
Silas Longwap *
Department of Mathematics, Faculty of Natural Sciences, University of Jos, P.M.B. 2084, Plateau State, Nigeria.
Shamtang B. Musa
Department of Statistics, Federal Polytechnic Kaltungo, P.M.B. 009 Kaltungo, Gombe State, Nigeria.
Gukat G. Bitrus
Department of Mathematics and Computer Science, Federal University of Kashere, P.M.B. 0182, Gombe State, Nigeria.
Ezekiel B. Yohanna
Plateau State Polytechnic Barkin Ladi, P.M.B. 02023 Barkin Ladi, Plateau State, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
In this paper we recall some different Riemannian Submersions such as; Semi-Invarian, Semi-Slant, Hemi-Slant and Quasi-Hemi-Slant Submersion from Almost Hermitian manifold to Riemannian manifold. Our goal in this work is to introduce local orthonormal bases for the fibers of Quasi-Hemi-Slant Riemannian submersion which generalizes Hemi-Slant, Semi-Slant and Semi-Invarian submersion from Almost Hermitian manifold to Riemannian manifold.
Keywords: Almost hermitian manifold, Riemannian submersion