Certain results on Lorentzian para-Kenmotsu manifolds | Zendy

Abdul Haseeb | Zendy; Rajendra Prasad | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Certain results on Lorentzian para-Kenmotsu manifolds

Author(s) -

Abdul Haseeb,

Rajendra Prasad

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.40607

Subject(s) - connection (principal bundle) , manifold (fluid mechanics) , bar (unit) , metric (unit) , metric connection , quarter (canadian coin) , pure mathematics , einstein , mathematics , mathematical analysis , physics , geometry , mathematical physics , curvature , scalar curvature , fundamental theorem of riemannian geometry , engineering , mechanical engineering , operations management , archaeology , meteorology , history

The object of the present paper is to study Lorentzian para-Kenmotsu manifolds with respect to the quarter-symmetric metric connection. First, we study Lorentzian para-Kenmotsu manifolds with respect to the quarter-symmetric metric connection satisfying the curvature conditions R̄ · S̄ = 0 and S̄ · R̄ = 0. Next, we study φ-conformally flat, φ-conharmonically flat, φ-concircularly flat, φ-projectively flat and conformally flat Lorentzian para-Kenmotsu manifolds with respect to the quarter-symmetric metric connection and it is shown that in each of these cases the manifold is a generalized η-Einstein manifold.

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