English

H-almost Ricci-Yamabe solitons in paracontact geometry

Differential Geometry 2025-02-10 v1

Abstract

In this article, we classify h-almost Ricci-Yamabe solitons in paracontact geometry. In particular, we characterize para-Kenmotsu manifolds satisfying h-almost Ricci-Yamabe solitons and 3-dimensional para-Kenmotsu manifolds obeying h-almost gradient Ricci-Yamabe solitons. Next, we classify para-Sasakian manifolds admitting h-almost Ricci-Yamabe solitons and h-almost gradient Ricci-Yamabe solitons. Besides these, we investigate h-almost Ricci-Yamabe solitons and h-almost gradient Ricci-Yamabe solitons in para-cosymplectic manifolds. Finally, we construct two examples to illustrate our results.

Keywords

Cite

@article{arxiv.2111.13577,
  title  = {H-almost Ricci-Yamabe solitons in paracontact geometry},
  author = {Arpan Sardar and Uday Chand De and Cihan Özgür},
  journal= {arXiv preprint arXiv:2111.13577},
  year   = {2025}
}