Results 11 to 20 of about 10,472 (250)
Chen-Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space Forms
Advances in Mathematical Physics, 2021 In this article, we obtain improved Chen-Ricci inequalities for submanifolds of generalized space forms with quarter-symmetric metric connection, with the help of which we completely characterized the Lagrangian submanifold in generalized complex space ...
Ali H. Al-Khaldi +3 more
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Chen’s Ricci inequalities and topological obstructions on null hypersurfaces of a Lorentzian manifold [PDF]
Journal of Inequalities and Applications, 2018 Given a null hypersurface of a Lorentzian manifold, we isometrically immerse a null hypersurface equipped with the Riemannian metric (induced on it by the rigging) into a Riemannian manifold suitably constructed on the Lorentzian manifold.
Karimumuryango Ménédore
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Chen-Ricci inequalities for Riemannian maps and their applications
, 2022 Riemannian maps between Riemannian manifolds, originally introduced by A.E. Fischer in [Contemp. Math. 132 (1992), 331-366], provide an excellent tool for comparing the geometric structures of the source and target manifolds. Isometric immersions and Riemannian submersions are particular examples of such maps.
Lee, Jae Won +3 more
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The Khinchin inequality and Chen’s theorem [PDF]
St. Petersburg Mathematical Journal, 2012 Summary: Chen's theorem on the mean values of \(L_q\)-discrepancies is one of the basic results in the theory of uniformly distributed point sets. This is a difficult result, based on deep and nontrivial combinatorial arguments (see the papers by Chen and Beck on irregularities of distributions). The paper is aimed at showing that the results of such a
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Chen's inequality in the Lagrangian case [PDF]
Colloquium Mathematicum, 2007 In the theory of submanifolds, the following problem is fundamental: es- tablish simple relationships between the main intrinsic invariants and the main extrinsic invariants of submanifolds. The basic relationships discovered until now are inequalities. To analyze such problems, we follow the idea of C.
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Approximating trigonometric functions by using exponential inequalities
Journal of Inequalities and Applications, 2019 In this paper, some exponential inequalities are derived from the inequalities containing trigonometric functions. Numerical examples show that one can achieve much tighter bounds than those of prevailing methods, which are presented by Cusa, Huygens ...
Xiao-Diao Chen, Junyi Ma, Yixin Li
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Mathematics, 2022 In this study, some identities involving the Riemannian curvature invariants are presented on lightlike hypersurfaces of a statistical manifold in the Lorentzian settings. Several inequalities characterizing lightlike hypersurfaces are obtained.
Oğuzhan Bahadır +3 more
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On Generalized Strong Vector Variational-Like Inequalities in Banach Spaces
Journal of Inequalities and Applications, 2007 The purpose of this paper is to study the solvability for a class of generalized strong vector variational-like inequalities in reflexive Banach spaces.
Lu-Chuan Ceng +2 more
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Fractal and Fractional, 2022 The purpose of this study is to define a new class of harmonically convex functions, which is known as left and right harmonically convex interval-valued function (LR-𝓗-convex IV-F), and to establish novel inclusions for a newly defined class of interval-
Muhammad Bilal Khan +4 more
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Recent Developments on the First Chen Inequality in Differential Geometry
Mathematics, 2023 One of the most fundamental interests in submanifold theory is to establish simple relationships between the main extrinsic invariants and the main intrinsic invariants of submanifolds and find their applications. In this respect, the first author established, in 1993, a basic inequality involving the first δ-invariant, δ(2), and the squared mean ...
Bang-Yen Chen, Gabriel-Eduard Vîlcu
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