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Chen inequalities on lightlike hypersurfaces of a GRW spacetime
International Journal of Geometric Methods in Modern Physics, 2021In this paper, we introduce [Formula: see text]-Ricci curvature and [Formula: see text]-scalar curvature on lightlike hypersurfaces of a GRW spacetime. Using these curvatures, we establish some inequalities for lightlike hypersurfaces of a GRW spacetime. Using these inequalities, we obtain some characterizations on lightlike hypersurfaces.
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Chen inequalities on spacelike hypersurfaces of a GRW spacetime
Differential Geometry and its Applications, 2022A generalized Robertson-Walker (GRW) spacetime is defined as the warped product \(L^{n+1}(c, f ) = I \times_f F\), where \(I\subset R\) is an interval with the metric \(-dt^2\) and \(F\) is an \(n\)-dimensional Riemannian manifold. In this paper, the author establishes some Chen-like inequalities for space-like hypersurfaces in GRW spacetimes and ...
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Lagrangian submanifolds attaining equality in the improved Chen's inequality
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2007 Recently Oprea gave an improved version of Chen's inequality for Lagrangian submanifolds of $\mathbb CP^n(4)$. For minimal submanifolds this inequality coincides with the original previously proved version. We consider here those non minimal 3-dimensional Lagrangian submanifolds in $\mathbb CP^3 (4)$ attaining at all points equality in the improved ...
Bolton, J., Vrancken, L.
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The Chen's first inequality for submanifolds of statistical warped product manifolds
Journal of Geometry and Physics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aliya Naaz Siddiqui +2 more
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Chen inequalities for statistical submersions between statistical manifolds
International Journal of Geometric Methods in Modern Physics, 2021We study statistical submersions between statistical manifolds. In particular, we establish Chen–Ricci inequalities of statistical submersions between statistical manifolds and a [Formula: see text] Chen-type inequality for statistical submersions. Some applications are also given.
Siddiqui, Aliya Naaz +2 more
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An improved first Chen inequality for Legendrian submanifolds in Sasakian space forms
Periodica Mathematica Hungarica, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ion Mihai
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Chen Inequalities for Isotropic Submanifolds in Pseudo-Riemannian Space Forms
International Electronic Journal of Geometry, 2023The class of isotropic submanifolds in pseudo-Riemannian manifolds is a distinguished family of submanifolds; they have been studied by several authors. In this article we establish Chen inequalities for isotropic immersions. An example of an isotropic immersion for which the equality case in the Chen first inequality holds is given.
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Chen–Ricci Inequality for CR-Warped Products and Related Open Problems
Mediterranean Journal of Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdulqader Mustafa, Siraj Uddin
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B.Y. Chen inequalities for slant submanifolds in Sasakian space forms
Rendiconti del Circolo Matematico di Palermo, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Oiaga, Adela, Cioroboiu, Dragoş
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BETTER BOUNDS IN CHEN’S INEQUALITIES FOR THE EULER CONSTANT
Bulletin of the Australian Mathematical Society, 2015In this paper we improve the inequalities obtained by Chen in 2009 for the Euler–Mascheroni constant.
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