Cross Curvature Solitons of Lorentzian Three-Dimensional Lie Groups

Author:

Azami Shahroud1ORCID,Jafari Mehdi2ORCID,Haseeb Abdul3ORCID,Ahmadini Abdullah Ali H.3ORCID

Affiliation:

1. Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin P.O. Box 34148-96818, Iran

2. Department of Mathematics, Payame Noor University, Tehran P.O. Box 19395-4697, Iran

3. Department of Mathematics, College of Science, Jazan University, P.O. Box 114, Jazan 45142, Saudi Arabia

Abstract

In this paper, we study left-invariant cross curvature solitons on Lorentzian three-dimensional Lie groups and classify these solitons.

Funder

Deputyship for Research & Innovation, Ministry of Education in Saudi Arabia

Publisher

MDPI AG

Reference25 articles.

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3. On the cross curvature flow;Ho;Differ. Geom. Appl.,2020

4. The cross curvature flow of 3-dimensional flow of 3-manifolds with negative sectional curvature;Chow;Turkish J. Math.,2004

5. Short-time existence of the solutions to the cross curvature flow on 3-manifolds;Buckland;Proc. Am. Math. Soc.,2006

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