Geometric solitons in a $D$-homothetically deformed Kenmotsu manifold
Differential Geometry
2025-08-04 v4
Abstract
We consider almost Riemann and almost Ricci solitons in a -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.
Keywords
Cite
@article{arxiv.2008.03502,
title = {Geometric solitons in a $D$-homothetically deformed Kenmotsu manifold},
author = {Adara M. Blaga},
journal= {arXiv preprint arXiv:2008.03502},
year = {2025}
}