Semi-invariant conformal submersions with horizontal Reeb vector field

Author:

Pandey Shashikant1,Prasad Rajendra1,Gupta Punam2,Singh Shweta1

Affiliation:

1. Department of Mathematics and Astronomy, University of Lucknow, Lucknow, Uttar Pradesh, India

2. Department of Mathematics and Statistics, Dr. Harisingh Gour University, Sagar, Madhya Pradesh, India

Abstract

The present paper deals with the characterization of a new submersion named semi-invariant conformal submersions with horizontal Reeb vector field from almost contact metric manifolds onto Riemannian metric manifolds which is the generalization of some known submersions on Riemannian metric manifolds. We give important and adequate conditions for such submersions to be totally geodesic and harmonic. Also, a few examples are examined for such submersions endowed with horizontal Reeb vector field.

Publisher

National Library of Serbia

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