Riemannian Submersions Whose Total Manifolds Admitting a Ricci Soliton

Şemsi Eken Meriç; Erol Kılıç

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arXiv · 1902.03008

Riemannian Submersions Whose Total Manifolds Admitting a Ricci Soliton

Şemsi Eken Meriç·Erol Kılıç

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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.

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Şemsi Eken Meriç, Erol Kılıç. 2019-02-08. Riemannian Submersions Whose Total Manifolds Admitting a Ricci Soliton. https://arxiv.org/abs/1902.03008

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