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Compact gradient $$\rho$$-Einstein soliton is isometric to the Euclidean sphere by Absos Ali Shaikh; Chandan Kumar Mondal; Prosenjit Mandal is a Mathematics article available to read on EtoBox.
What is Compact gradient $$\rho$$-Einstein soliton is isometric to the Euclidean sphere about?
In this paper, we have investigated some aspects of gradient q-Einstein Ricci soliton in a complete Riemannian manifold. First, we have proved that the compact gradient q-Einstein soliton satisfying some curvature conditions is isometric to the Euclidean sphere by showing that the scalar curvature becomes constant. Second, we have shown that in a non-compact gradient q-Einstein soliton satisfying an integral condition, the scalar curvature vanishes.
Who reads Compact gradient $$\rho$$-Einstein soliton is isometric to the Euclidean sphere?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Absos Ali Shaikh; Chandan Kumar Mondal; Prosenjit Mandal
- Publisher
- Springer Science and Business Media LLC
- Published
- 2021
- Language
- EN
- Field
- Mathematics (Physical Sciences)