A note on Csi-ξ⊥-Riemannian submersions from Kenmotsu manifolds

Authors

  • S. Kumar B.R. Ambedkar Bihar University Muzaffarpur, India
  • S. Kumar Shri Jai Narain Post Graduate College, Lucknow (U.P.), India
  • R. Prasad University of Lucknow, Lucknow (U.p.), India

DOI:

https://doi.org/10.31926/but.mif.2022.2.64.2.11

Keywords:

Riemannian map, Clairaut semi-invariant Riemannian map, Kenmotsu manifold

Abstract

The object of this article is to define and study the Clairaut semi-invariant ξ -Riemannian submersions (Csi-ξ -Riemannian submersions, In short) from Kenmotsu manifolds onto Riemannian manifolds. We obtain necessary and sufficient condition for a semi-invariant ξ-Riemannian submersion to be Csi-ξ-Riemannian submersion. We also work out on some fundamental differential geometric properties of these submersions. Moreover, we present consequent non-trivial example of such submersion.

Author Biographies

S. Kumar, B.R. Ambedkar Bihar University Muzaffarpur, India

Department of Mathematics, Dr. S.K.S.Women’s College Motihari

S. Kumar, Shri Jai Narain Post Graduate College, Lucknow (U.P.), India

Department of Mathematics

R. Prasad, University of Lucknow, Lucknow (U.p.), India

Department of Mathematics ans Astronomy

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Published

2022-12-29

Issue

Section

MATHEMATICS