# zbMATH — the first resource for mathematics

Some properties of Lorentzian $$\alpha$$-Sasakian manifolds with respect to quarter-symmetric metric connection. (English) Zbl 1346.53032
Summary: The aim of this paper is to study generalized recurrent, generalized Ricci-recurrent, weakly symmetric and weakly Ricci-symmetric, semi-generalized recurrent, semi-generalized Ricci-recurrent Lorentzian $$\alpha$$-Sasakian manifold with respect to quarter-symmetric metric connection. Finally, we give an example of 3-dimensional Lorentzian $$\alpha$$-Sasakian manifold with respect to quarter-symmetric metric connection.

##### MSC:
 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) 53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
Full Text: