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On a class of generalized recurrent $(k,\mu)$-contact metric manifolds
Mohan Khatri,Jay Prakash Singh 대한수학회 2020 대한수학회논문집 Vol.35 No.4
The goal of this paper is the introduction of hyper generalized $\phi$-recurrent $(k,\mu)$-contact metric manifolds and of quasi generalized $\phi$-recurrent $(k,\mu)$-contact metric manifolds, and the investigation of their properties. Their existence is guaranteed by examples.
ON A CLASS OF GENERALIZED RECURRENT (k, 𝜇)-CONTACT METRIC MANIFOLDS
Khatri, Mohan,Singh, Jay Prakash Korean Mathematical Society 2020 대한수학회논문집 Vol.35 No.4
The goal of this paper is the introduction of hyper generalized 𝜙-recurrent (k, 𝜇)-contact metric manifolds and of quasi generalized 𝜙-recurrent (k, 𝜇)-contact metric manifolds, and the investigation of their properties. Their existence is guaranteed by examples.
GENERALIZED m-QUASI-EINSTEIN STRUCTURE IN ALMOST KENMOTSU MANIFOLDS
Mohan Khatri,Jay Prakash Singh Korean Mathematical Society 2023 대한수학회보 Vol.60 No.3
The goal of this paper is to analyze the generalized m-quasi-Einstein structure in the context of almost Kenmotsu manifolds. Firstly we showed that a complete Kenmotsu manifold admitting a generalized m-quasi-Einstein structure (g, f, m, λ) is locally isometric to a hyperbolic space ℍ<sup>2n+1</sup>(-1) or a warped product ${\tilde{M}}{\times}{_{\gamma}{\mathbb{R}}$ under certain conditions. Next, we proved that a (κ, µ)'-almost Kenmotsu manifold with h' ≠ 0 admitting a closed generalized m-quasi-Einstein metric is locally isometric to some warped product spaces. Finally, a generalized m-quasi-Einstein metric (g, f, m, λ) in almost Kenmotsu 3-H-manifold is considered and proved that either it is locally isometric to the hyperbolic space ℍ<sup>3</sup>(-1) or the Riemannian product ℍ<sup>2</sup>(-4) × ℝ.