On CSI-ξ^˔-Riemannian submersions from Sasakian manifold

Sushil Kumar; RAJENDRA  PRASAD; RAJENDRA  PRASAD; SUMEET  KUMAR

doi:10.5269/bspm.65185

Sushil Kumar Shri JNPG College, University of Lucknow
RAJENDRA PRASAD Department of Mathematics and Astronomy, University of Lucknow, Lucknow, India
RAJENDRA PRASAD Department of Mathematics and Astronomy, University of Lucknow, Lucknow, India
SUMEET KUMAR Department of Mathematics, Dr. S.K.S.Womens College Motihari, B.R.A. Bihar University-India

Abstract

In the present paper, we study the Clairaut semi-invariant \xi-Riemannian submersions (CSI- \xi-Riemannian submersions, in short) from Sasakian manifolds onto Riemannian manifolds. We investigate fundamental results pertaining to the geometry of introduced submersions. We also work out integrability conditions and totally geodesicness of distributions defined in such submersions. Finally, we construct a non-example of CSI -\xi Riemannian submersion from 5 dimensional Sasakian manifold onto Riemannian.

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