Quater-symmetric metric connection on f-Kenmotsu manifolds

In this paper, we study projectively flat and conharmonically flat three-dimensional f-Kenmotsu manifolds with respect to quater-symmetric metric connection. Also, we consider η-Ricci solitons of a three-dimensional f-Kenmotsu manifold with respect to quater-symmetric metric connection. Finally, we have cited an example which varifies the Theorem ۵.۱.

کلیدواژه ها:

f-Kenmotsu manifolds ، η-Ricci soliton ، projectively flat ، conhrarmonically flat ، η-Einstein manifold