Conformal Semi-Invariant Submersions from Almost Contact Metric Manifolds onto Riemannian Manifolds

Document Type : Original Article

Authors

Rajendra Prasad

Sushil Kumar

Department of mathematics and Astronomy, University of Lucknow, Lucknow, India

10.22034/kjm.2018.68796

Abstract

As a generalization of semi-invariant Riemannian submersions, we introduce conformal semi-invariant submersions from almost contact metric manifolds onto Riemannian manifolds and study such submersions from Cosymplectic manifolds onto Riemannian manifolds. Examples of conformal semi-invariant submersions in which structure vector field is vertical are given. We study geometry of foliations determined by distributions involved in definition of conformal anti-invariant submersions. We also study the harmonicity of such submersions and find necessary and sufficient conditions for the distributions to be totally geodesic.

Keywords

Riemannian submersion

anti-invariant submersion

conformal semi-invariant submersions

Subjects

• 35 Partial differential equations

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