Rajendra PRASAD, Shashikant PANDEY, Sandeep Kumar VERMA, Sumeet KUMAR

A Study on Lorentzian $\alpha -$Sasakian Manifolds

The object of the present paper is to study the geometric properties of Concircular curvature tensor on Lorentzian $\alpha -$Sasakian manifold admitting a type of quarter-symmetric metric connection. In the last, we provide an example of 3-dimensional Lorentzian $\alpha -$Sasakian manifold endowed with the quarter-symmetric metric connection which is under consideration is an $\eta -$Einstein manifold with respect to the quarter-symmetric metric connection.

Keywords:

Lorentzian $\alpha $-Sasakian manifolds, Quarter-symmetric metric connection, Concircular curvature tensor, $\eta -$Einstein manifold,

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Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2013
Yayıncı: Mehmet Zeki SARIKAYA

Arşiv

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