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5 Results Found

  • Article
  • Open Access
1 Citations
655 Views
15 Pages

Geometry of Kenmotsu Manifolds via Q-Curvature Tensor and Schouten–Van Kampen Connection

  • Mustafa Yıldırım,
  • Selahattin Beyendi,
  • Gülhan Ayar and
  • Nesip Aktan

26 June 2025

This research paper aims to study the Q-curvature tensor on Kenmotsu manifolds endowed with the Schouten–van Kampen connection. Using the Q-curvature tensor, whose trace is the well-known Z-tensor, we characterized Kenmotsu manifolds by introdu...

  • Article
  • Open Access
2 Citations
1,475 Views
15 Pages

17 April 2023

The object of the present paper was to study biharmonic maps on f-Kenmotsu manifolds and f-Kenmotsu manifolds with the Schouten–van Kampen connection. With the help of this connection, our results provided important insights related to harmonic...

  • Article
  • Open Access
6 Citations
1,728 Views
20 Pages

27 November 2023

In the current research, we develop optimal inequalities for submanifolds in trans-Sasakian manifolds or (α,β)-type almost contact manifolds endowed with the Schouten–Van Kampen connection (SVK-connection), including generalized norm...

  • Feature Paper
  • Article
  • Open Access
2 Citations
1,497 Views
20 Pages

10 November 2023

We determine the general natural metrics G on the total space TM of the tangent bundle of a Riemannian manifold (M,g) such that the Schouten–van Kampen connection ¯ associated to the Levi-Civita connection of G is (quasi-)statistica...

  • Article
  • Open Access
6 Citations
1,853 Views
11 Pages

29 March 2021

Two correlated Schouten–van Kampen affine connections on an almost paracontact almost paracomplex Riemannian manifold are introduced and investigated. The considered manifolds are characterized by virtue of the presented non-symmetric connections. Cu...