Clairaut Generic Riemannian Maps from Nearly Kahler Manifolds

TL;DR

This paper investigates Clairaut generic Riemannian maps originating from nearly Kahler manifolds, establishing conditions for geodesic foliations and providing explicit examples.

Contribution

It introduces new conditions for Clairaut Riemannian maps to form totally geodesic foliations and presents non-trivial examples of such maps.

Findings

Derived a condition for Clairaut Riemannian maps to be totally geodesic.

Provided explicit non-trivial examples of Clairaut Riemannian maps.

Analyzed properties of these maps from nearly Kahler to Riemannian manifolds.

Abstract

In this paper, we study Clairaut generic Riemannian map from a nearly Kahler manifold to a Riemannian manifold. Further, we obtain a condition for a Clairaut generic Riemannian map to be a totally geodesic foliation on the total manifold. Lastly, we give non-trivial examples of such Riemannian maps.