On δ- Lorentzian trans Sasakian manifold with semi-symmetric metric connection | Zendy

Mohd Danish Siddiqi | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On δ- Lorentzian trans Sasakian manifold with semi-symmetric metric connection

Author(s) -

Mohd Danish Siddiqi

Publication year - 2020

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research