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Addition Reaction of Cyclopropane with Magnesium Dihydride (MgH<sub>2</sub>): A Theoretical Study
Singh, Satya Prakash,Meena, Jay Singh,Thankachan, Pompozhi Protasis Korean Chemical Society 2013 대한화학회지 Vol.57 No.6
The addition reaction of cyclopropane with $MgH_2$ has been investigated using the B3LYP density functional method employing several split-valence basis sets. Both along the and perpendicular to the cyclopropane ring approach has been reported. It is shown that the reaction proceeds via a four-centered transition state. Calculations at higher levels of theory were also performed at the geometries optimized at the B3LYP level, but only slight changes in the barriers were observed. Structural parameters for the transition state are also reported.
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.
ON SOME CLASSES OF WEAKLY Z-SYMMETRIC MANIFOLDS
Lalnunsiami, Kingbawl,Singh, Jay Prakash Korean Mathematical Society 2020 대한수학회논문집 Vol.35 No.3
The aim of the paper is to study some geometric properties of weakly Z-symmetric manifolds. Weakly Z-symmetric manifolds with Codazzi type and cyclic parallel Z tensor are studied. We consider Einstein weakly Z-symmetric manifolds and conformally flat weakly Z-symmetric manifolds. Next, it is shown that a totally umbilical hypersurface of a conformally flat weakly Z-symmetric manifolds is of quasi constant curvature. Also, decomposable weakly Z-symmetric manifolds are studied and some examples are constructed to support the existence of such manifolds.