Generic Riemannian Submersions from nearly K¨aehler Manifolds

Rupali Kaushal; Rashmi Sachdeva; Rakesh Kumar; R K Nagaich

doi:10.56424/jts.v13i01.10604

Rupali Kaushal Department of Mathematics Punjabi University, Patiala-147 002, India
Rashmi Sachdeva Department of Basic and Applied Sciences, Punjabi University, Patiala-147 002, India
Rakesh Kumar Department of Basic and Applied Sciences, Punjabi University, Patiala-147 002, India
R K Nagaich Department of Mathematics Punjabi University, Patiala-147 002, India

DOI: https://doi.org/10.56424/jts.v13i01.10604

Keywords: Nearly K¨aehler manifolds; Generic Riemannian submersions; Totally geodesic maps; Harmonic maps

Abstract

We study generic Riemannian submersions from nearly K¨aehler manifolds onto Riemannian manifolds. We investigate conditions for the integrability of various distributions arising for generic Riemannian submersions and also obtain conditions for leaves to be totally geodesic foliations. We obtain conditions for a generic Riemannian submersion to be a totally geodesic map and also study generic Riemannian submersions with totally umbilical fibers. Finally, we derive conditions for generic Riemannian submersions to be harmonic map.