Work

Para-sasakian Manifold Admitting Ricci-yamabe Solitons With Quarter Symmetric Metric Connection

Year: 2024

Type: article

Abstract: In the year 2019, Guler and Crasmareanu [6] conducted an investigation into another geometric flow known as the Ricci-Yamabe map. This map is nothing but a scalar combination of the Ricci and the Yamabe flow [7]. The primary objective of the current paper is to provide a characterization of a Ricci Yamabe soliton on a para-Sasakian manifold [17]. To commence, we prove that a para-Sasakian manifold admits a nearly quasi-Einstein manifold. Moreover, we discuss whether such a manifold is shrinking, expanding, or steady. Subsequently, we generalize these findings to Ricci-Yamabe solitons on para-Sasakian manifolds equipped with a quarter symmetric metric connection. Lastly, we furnish an illustration of a three-dimensional para-Sasakian manifold admitting a Ricci-Yamabe soliton which satisfies our results.

Source: Facta Universitatis Series Mathematics and Informatics

DOI: 10.22190/fumi230825034v

Authors: . Vandana, Rajeev Budhiraja, Kamran Ahmad, Aliya Naaz Siddiqui

Institutions: Maharishi Markandeshwar University, Mullana, Galgotias University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4403047361

FWCI:

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