Clairaut Pointwise Slant Submersion from Locally Product Riemannian Manifolds

Year 2023, Volume: 16 Issue: 1, 283 - 294, 30.04.2023

Murat Polat

https://doi.org/10.36890/iejg.1108703

Abstract

The goal of the present paper is to analyze some geometric features of Clairaut pointwise slant submersions whose total manifold is a locally product Riemannian manifold. We describe Clairaut pointwise slant submersions from locally product Riemannian manifold onto a Riemannian manifold. We study pointwise slant submersions by providing a consequent which defines the geodesics on the total space of this type submersions. We also give a non-trivial example of the Clairaut pointwise slant submersions whose total manifolds are locally product Riemannian.

Keywords

Riemannian submersion, Clairaut pointwise slant submersion, locally product Riemannian manifold

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