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arXiv · 2008.03502

Geometric solitons in a $D$-homothetically deformed Kenmotsu manifold

Adara M. Blaga
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Abstract

We consider almost Riemann and almost Ricci solitons in a $D$-homothetically deformed Kenmotsu manifold having as potential vector field a gradient vector field, a solenoidal vector field or the Reeb vector field of the deformed structure, and explicitly obtain the Ricci and scalar curvatures for some cases. We also provide a lower bound for the Ricci curvature of the initial Kenmotsu manifold when the deformed manifold admits a gradient almost Riemann or almost Ricci soliton.

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Adara M. Blaga. 2020-08-08. Geometric solitons in a $D$-homothetically deformed Kenmotsu manifold. https://arxiv.org/abs/2008.03502

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