Riemannian Submersions Whose Total Manifolds Admitting a Ricci Soliton
Differential Geometry
2020-06-30 v5
Abstract
In this paper, we study Riemannian submersions whose total manifolds admitting a Ricci soliton. Here, we characterize any fiber of such a submersion is Ricci soliton or almost Ricci soliton. Indeed, we obtain necessary conditions for which the target manifold of Riemannian submersion is a Ricci soliton. Moreover, we study the harmonicity of Riemannian submersion from Ricci soliton and give a characterization for such a submersion to be harmonic.
Keywords
Cite
@article{arxiv.1902.03008,
title = {Riemannian Submersions Whose Total Manifolds Admitting a Ricci Soliton},
author = {Şemsi Eken Meriç and Erol Kılıç},
journal= {arXiv preprint arXiv:1902.03008},
year = {2020}
}
Comments
This paper is published on International Journal of Geometric Methods in Modern Physics