English

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 DD-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}
}