Geometry of Almost Ricci Solitons on D-homothetically Deformed K-Paracontact Metric Manifolds
Year: 2026
Type: article
Abstract: The aim of present paper is to study geometrical aspects of the almost Ricci soliton on D-homothetically deformed K-paracontact metric manifold and find the condition when the deformed metric remains almost Ricci soliton. Further, we analyze the nature of almost Ricci soliton on D-homothetically deformed K-paracontact metric manifold when associated potential vector field is divergence-free, the conformal vector field, or point wise collinear with Reeb vector field. We also provide examples of D-homothetically deformed K-paracontact metric manifold whose metric represents Ricci soliton. Finally, we discuss the behavior of almost gradient Ricci solitons on D-homothetically deformed K-paracontact metric manifold and obtain condition when the deformed metric remains the almost gradient Ricci soliton.
Authors: Tarun Saxena, Akhılesh Yadav
Institution: Banaras Hindu University
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W7155155972