Work

Almost Conformal Ricci Solitons on Lp-sasakian Manifolds

Year: 2024

Type: article

Abstract: The object of the present paper is to classify almost conformal Ricci solitons on Lorentzian para-Sasakian manifolds. In this paper, we prove that such manifolds with infinitesimal contact vector field V is η-Einstein and the scalar curvature of the manifold is constant, where V is potential vector field. Moreover, we show that an almost conformal Ricci soliton on Lorentzian para-Sasakian manifold becomes a conformal Ricci soliton and it is shrinking, steady or expanding according as the dimension of the manifold is greater than 3 or equal to 3 or less than 3. Also we prove that V is strictly infinitesimal contact vector field.

Source: Facta Universitatis Series Mathematics and Informatics

DOI: 10.22190/fumi240220050m

Authors: Pradip Majhi, Debabrata Kar

Institution: University of Calcutta

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: Council of Scientific and Industrial Research, India

Award: G4270315048