Open AccessOn δ- Lorentzian trans Sasakian manifold with semi-symmetric metric connection
Author(s) -
Mohd Danish Siddiqi
Publication year - 2021
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.41108
Subject(s) - connection (principal bundle) , metric connection , scalar curvature , curvature , manifold (fluid mechanics) , metric (unit) , pure mathematics , mathematics , ricci curvature , mathematical analysis , riemann curvature tensor , levi civita connection , pseudo riemannian manifold , fundamental theorem of riemannian geometry , geometry , mechanical engineering , operations management , engineering , economics
The aim of the present research is to study the δ-Lorentzian trans Sasakian manifolds with a semi-symmetric metric connection. We have found the expressions for curvature tensors, Ricci curvature tensors and scalar curvature of the δ-Lorentzian trans Sasakian manifolds with a semi-symmetric metric and metric connection. Also, we have discussed some results on quasi-projectively flat and ϕ-projectively flat manifolds endowed with a semi-symmetric-metric connection. It shown that the manifold satisfying¯R. ¯ S = 0,¯P, ¯ S = 0.Lastly, we have obtained the conditions for the δ-Lorentzian Trans Sasakian manifolds with a semi-symmetric metric connection to be conformally flat and ξ-conformally flat.