Quarter-symmetric metric connection on a Lorentzian α-Sasakian manifold

Yıl 2017, Cilt: 5 Sayı: 2, 69 - 79, 30.03.2017

Venkatesha Venkatesha , Divyashree G.

Öz

In the present paper we study locally ϕ-symmetric, locally projective ϕ-symmetric, ϕ-recurrent and ϕ-projectively flat Lorentzian α-Sasakian manifold with respect to quarter-symmetric metric connection. Further, the existence of a Lorentzian α-Sasakian manifold admitting quarter-symmetric metric connection is shown by constructing an example.

Anahtar Kelimeler

Lorentzian α-Sasakian manifold, quarter-symmetric metric connection, locally ϕ-symmetric, locally projective ϕ-symmetric, ϕ-recurrent

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