Open AccessRicci soliton on the tangent bundle with semi-symmetric metric connection
Author(s) -
Hamou Mohammed Dida,
AUTHOR_ID,
Fouzi Hathout,
AUTHOR_ID
Publication year - 2022
Publication title -
bulletin of the "transilvania" university of braşov. series iii, mathematics and computer science
Language(s) - English
Resource type - Journals
eISSN - 2810-2037
pISSN - 2810-2029
DOI - 10.31926/but.mif.2021.1.63.2.4
Subject(s) - tangent bundle , connection (principal bundle) , metric connection , mathematics , metric (unit) , mathematical analysis , lift (data mining) , bundle , tangent , pure mathematics , topology (electrical circuits) , mathematical physics , physics , ricci curvature , geometry , fundamental theorem of riemannian geometry , combinatorics , tangent space , computer science , curvature , materials science , engineering , operations management , composite material , data mining
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.