Hyperbolic Kenmotsu Manifolds Admitting Schouten-Van Kampen Connection

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Rajendra Prasad, Elsiddeg Ali, Mohammad Mahboob Alam, Abdul Haseeb

Abstract

In this paper we study certain curvature identities on hyperbolic Kenmotsu manifolds associated with the Schouten-Van Kampen connection. Also, we study hyperbolic Kenmotsu manifolds associated with the Schouten-Van Kampen connection that fulfills concircularly flat, ξ-concircularly flat, pseudo-concircularly flat, φ-concircularly flat, φ-concircularly semi-symmetric and Ricci semi-symmetric conditions. Moreover, we examine hyperbolic Kenmotsu manifolds with the Schouten-Van Kampen connection admitting Ricci solitons and η-Ricci solitons. To conclude, we present an illustration of a hyperbolic Kenmotsu manifold to validate certain results.

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