H-almost Ricci-Yamabe solitons in paracontact geometry

TL;DR

This paper classifies and characterizes h-almost Ricci-Yamabe solitons within various classes of paracontact manifolds, providing new insights and explicit examples in the field of differential geometry.

Contribution

It offers a comprehensive classification of h-almost Ricci-Yamabe solitons in paracontact geometry, including specific results for para-Kenmotsu, para-Sasakian, and para-cosymplectic manifolds, with explicit examples.

Findings

Classification of h-almost Ricci-Yamabe solitons in various paracontact manifolds

Characterization of para-Kenmotsu and para-Sasakian manifolds with these solitons

Construction of explicit examples illustrating the theoretical results

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.