Yamabe Solitons On (LCS)n -Manifolds. Issue 2 (2nd July 2020)

• Record Type: Journal Article
• Authors: Roy, Soumendu; Dey, Santu; Bhattacharyya, Arindam
• Is Part Of: Journal of dynamical systems and geometric theories. Volume 18:Issue 2(2020)
• Page Start: 261
• Page End: 279
• Publication Date: 2020-07-02
• Subjects: 53C15 -- 53C25 -- 53C44; Yamabe soliton -- Einstein manifold -- (LCS)n -manifold; Differentiable dynamical systems -- Periodicals; Geometry -- Periodicals; Differentiable dynamical systems; Geometry; Periodicals; 515.39
• DOI: 10.1080/1726037X.2020.1868100
• Languages: English
• ISSNs: 1726-037X

Abstract

Abstract: The object of the present paper is to study some properties of ( LCS ) n -manifolds whose metric is Yamabe soliton. We establish some characterization of ( LCS ) n -manifolds when the soliton becomes steady. Next we have studied some certain curvature conditions of ( LCS ) n -manifolds admitting Yamabe solitons. Lastly we construct a 3-dimensional ( LCS ) n -manifold satisfying the results.