Publications de l’Institut Mathématique, Nouvelle Série, Vol. 102[116], pp. 93

Publications de l’Institut Mathématique, Nouvelle Série
Vol. 102[116], pp. 93–105 (2017)

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

Ahmet Yıldız

Education Faculty, Department of Mathematics, Inonu University, Malatya, Turkey

Abstract: 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.

Keywords: Schouten–van Kampen connection, $f$ -Kenmotsu manifolds, Ricci-semisymmetric, semisymmetric, Einstein manifold, $η$ -Einstein manifold

Classification (MSC2000): 53C15; 53C25; 53C50

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Electronic fulltext finalized on: 3 Nov 2017. This page was last modified: 29 Jan 2018.

© 2017 Mathematical Institute of the Serbian Academy of Science and Arts
© 2017–2018 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition

f-Kenmotsu manifolds with the Schouten-Van Kampen connection

Ahmet Yıldız

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