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Epidemiological Trends and Inequalities in Eye Injuries Among Children and Adolescents Aged 0-19 Years: A Comprehensive Analysis of Global, Regional, and National Data From 1990 to 2021. [PDF]

J Ophthalmol
Meng Y, Liu Y, Ma Y, Chen Z, Tsai CL, Li T.   +5 more
europepmc   +1 more source

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Chen inequalities on spacelike hypersurfaces of a GRW spacetime

Differential Geometry and Its Applications, 2022
A 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 ...
Nergiz Poyraz
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B.Y. Chen inequalities for slant submanifolds in Sasakian space forms

Rendiconti Del Circolo Matematico Di Palermo, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Oiaga, Adela, Cioroboiu, Dragoş
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B.-Y. Chen's Inequality for Kähler-like Statistical Submersions

International Electronic Journal of Geometry, 2022
In this paper, we first define the notion of Lagrangian statistical submersion from a K\"ahler-like statistical manifold onto a statistical manifold. Then we prove that the horizontal distribution of a Lagrangian statistical submersion is integrable.
Aliya Naaz Sıddıquı, Siraj Uddin, Mohammad Hasan Shahid   +2 more
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SLANT IMMERSIONS OF COMPLEX SPACE FORMS AND CHEN'S INEQUALITY

Acta Mathematica Scientia, 2005
The authors present some results about slant submanifolds.
Li, Guanghan, Wu, Chuanxi
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Chen inequalities on lightlike hypersurfaces of a GRW spacetime

International Journal of Geometric Methods in Modern Physics, 2021
In 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’s first inequality for Riemannian maps

Annales Polonici Mathematici, 2016
Summary: We obtain a basic Chen inequality for Riemannian maps between Riemannian manifolds.
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Chen Inequalities for Isotropic Submanifolds in Pseudo-Riemannian Space Forms

International Electronic Journal of Geometry, 2023
The 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, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdulqader Mustafa, Siraj Uddin
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BETTER BOUNDS IN CHEN’S INEQUALITIES FOR THE EULER CONSTANT

Bulletin of the Australian Mathematical Society, 2015
In this paper we improve the inequalities obtained by Chen in 2009 for the Euler–Mascheroni constant.
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