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Biharmonic Submanifolds of Quaternionic Space Forms
Kacimi, Bouazza,Cherif, Ahmed Mohammed Department of Mathematics 2019 Kyungpook mathematical journal Vol.59 No.4
In this paper, we consider biharmonic submanifolds of a quaternionic space form. We give the necessary and sufficient conditions for a submanifold to be biharmonic in a quaternionic space form, we study different particular cases for which we obtain some non-existence results and curvature estimates.
Stability and Constant Boundary-Value Problems of f-Harmonic Maps with Potential
Kacimi, Bouazza,Cherif, Ahmed Mohammed Department of Mathematics 2018 Kyungpook mathematical journal Vol.58 No.3
In this paper, we give some results on the stability of f-harmonic maps with potential from or into spheres and any Riemannian manifold. We study the constant boundary-value problems of such maps defined on a specific Cartan-Hadamard manifolds, and obtain a Liouville-type theorem. It can also be applied to the static Landau-Lifshitz equations. We also prove a Liouville theorem for f-harmonic maps with finite f-energy or slowly divergent f-energy.
ON THE BIHARMONICITY OF VECTOR FIELDS ON PSEUDO-RIEMANNIAN MANIFOLDS
( Amina Alem ),( Bouazza Kacimi ),( Mustafa Özkan ) 호남수학회 2023 호남수학학술지 Vol.45 No.2
In this article, we deal with the biharmonicity of a vector field X viewed as a map from a pseudo-Riemannian manifold (M, g) into its tangent bundle TM endowed with the Sasaki metric gS. Precisely, we characterize those vector fields which are biharmonic maps, and find the relationship between them and biharmonic vector fields. Afterwards, we study the biharmonicity of left-invariant vector fields on the three dimensional Heisenberg group endowed with a left-invariant Lorentzian metric. Finally, we give examples of vector fields which are proper biharmonic maps on the Gödel universe.
Direct protection of cultured neurons from ischemia-like injury by minocycline
Wendy C. Huang,Yanli Qiao,Lijun Xu,Rachid Kacimi,Xiaoyun Sun,Rona G. Giffard,Midori A. Yenari 대한해부학회 2010 Anatomy & Cell Biology Vol.43 No.4
Minocycline, a tetracycline antibiotic, is now known to protect cells via an anti-inflammatory mechanism. We further explored this effect using an in vitro model of ischemia-like injury to neurons. Coculturing neurons with microglia, the brain’s resident immune cell, modestly increased cell death due to oxygen and glucose deprivation (OGD), compared to neurons alone. Treatment of cocultures with minocycline decreased cell death to a level significantly lower than that of neurons alone. Treatment of cocultures with minocycline or inhibitors of various immune mediators, also led to decreased cell death. Importantly, treatment of neuron cultures without added microglia with these same inhibitors of tissue plasminogen activator, matrix metalloproteinases, TNF-alpha and inducible nitric oxide synthase as well as minocycline also led to decreased cell death. Thus, anti-inflammatory treatments appear to be directly protective of neurons from in vitro ischemia.