$f$-Kenmotsu manifolds with the Schouten-Van Kampen connection


Ahmet Yıldız




We study 3-dimensional $f$-Kenmotsu manifolds with the Schouten--van Kampen connection. With the help of such a connection, we study projectively flat, conharmonically flat, Ricci semisymmetric and semisymmetric 3-dimensional $f$-Kenmotsu manifolds. Finally, we give an example of 3-dimensional $f$-Kenmotsu manifolds with the Schouten--van Kampen connection.