On a semi-quasi-Einstein manifold

JOURNAL OF GEOMETRY AND PHYSICS

卷:155

Article

Han, Yanling¹  De, Avik²  Zhao, Peibiao³ 

[1] Qilu Univ Technol, Shandong Acad Sci, Sch Math & Stat, Jinan 250353, Peoples R China

[2] Univ Tunku Abdul Rahman, Dept Math & Actuarial Sci, Bandar Sungai Long 43000, Kajang, Malaysia

[3] Nanjing Univ Sci & Technol, Dept Appl Math, Nanjing 210094, Peoples R China

关键词: Quasi-Einstein manifold;    Semi-symmetric metric connection;    Ricci-symmetric;    Kottler spacetime;    Schwarzschild spacetime;   

DOI  :  10.1016/j.geomphys.2020.103739

来源: Elsevier

【 摘 要 】

In the present paper we introduce a semi-quasi-Einstein manifold from a semi symmetric metric connection. Among others, the popular Schwarzschild and Kottler spacetimes are shown to possess this structure. Certain curvature conditions are studied in such a manifold with a Killing generator. (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free