On Chen invariants and inequalities in quaternionic geometry [PDF]
Journal of Inequalities and Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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δ(2,2)-Invariant for Lagrangian Submanifolds in Quaternionic Space Forms
Mathematics, 2020 In the geometry of submanifolds, Chen inequalities represent one of the most important tool to find relationships between intrinsic and extrinsic invariants; the aim is to find sharp such inequalities. In this paper we establish an optimal inequality for
Gabriel Macsim, Adela Mihai, Ion Mihai
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Chen inequalities for statistical submersions between statistical manifolds
International Journal of Geometric Methods in Modern Physics, 2021 We 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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Chen–Ricci inequalities for submanifolds of Riemannian and Kaehlerian product manifolds
Annales Polonici Mathematici, 2016 Summary: Some examples of slant submanifolds of almost product Riemannian manifolds are presented. The existence of a useful orthonormal basis in proper slant submanifolds of a Riemannian product manifold is proved. The sectional curvature, the Ricci curvature and the scalar curvature of submanifolds of locally product manifolds of almost constant ...
Kilic, Erol +2 more
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A New Estimate on the Rate of Convergence of Durrmeyer-Bézier Operators
Journal of Inequalities and Applications, 2009 We obtain an estimate on the rate of convergence of Durrmeyer-Bézier operaters for functions of bounded variation by means of some probabilistic methods and inequality techniques. Our estimate improves the result of Zeng and Chen (2000).
Pinghua Wang, Yali Zhou
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Chen-Type Inequality for Generic Submanifolds of Quaternionic Space Form and Its Application
Journal of New TheoryIn 1993, the theory of Chen invariants started when Chen wrote basic inequalities for submanifolds in space forms. This inequality is called Chen’s first inequality. Afterward, many geometers studied many papers dealing with this new inequality.
Amine Yılmaz
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On the constant in the nonuniform version of the Berry-Esseen theorem
International Journal of Mathematics and Mathematical Sciences, 2005 In 2001, Chen and Shao gave the nonuniform estimation of the rate of convergence in Berry-Esseen theorem for independent random variables via Stein-Chen-Shao method.
K. Neammanee
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IMPROVED CHEN’S INEQUALITIES FOR LAGRANGIAN SUBMANIFOLDS IN QUATERNIONIC SPACE FORMS [PDF]
Romanian Journal of Mathematics and Computer Science, 2016 Riemannian invariants (in particular Chen invariants) play an important role in the theory of submanifolds. They are very useful in providing relationships between the extrinsic and intrinsic invariants of a submanifold.
GABRIEL MACSIM
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Chen-like inequalities on lightlike hypersurfaces of a Lorentzian manifold [PDF]
Journal of Inequalities and Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gülbahar, Mehmet +2 more
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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 form and a Legendrian submanifold in a generalized Sasakian space form.
Ali H. Al-Khaldi +3 more
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