具有半对称度量连接的切束上的Ricci孤子

Q4 Mathematics

Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics Pub Date : 2022-01-15 DOI:10.31926/but.mif.2021.1.63.2.4

H. Dida, F. Hathout

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引用次数: 2

摘要

本文研究了由基流形上的半对称度量p -连接的垂直和完全提升所得到的具有半对称度量连接的切束。首先，我们给出了(TM;gc)和(M;g)成为爱因斯坦流形。其次，我们考察了(TM)的必要条件和辅助条件;gc)具有完全和垂直提升的力矩势场为Ricci孤子。

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Ricci soliton on the tangent bundle with semi-symmetric metric connection

In this paper, we studied the tangent bundle endowed with semi-symmetric metric connection obtained by vertical and complete lifts of a semi-symmetric metric P-connection on the base manifold. Firstly, we give a relationships between (TM; gc) and (M; g) to be an Einstein manifolds. Secondly, we investigate necessary and su cient conditions for (TM; gc) with complete and vertical lift of torqued potential elds to be Ricci soliton.

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来源期刊

Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics Mathematics-Mathematics (all)

CiteScore

0.30

自引率

0.00%

发文量