Curvature Invariants for Statistical Submanifolds of Hessian Manifolds of Constant Hessian Curvature
Mathematics, 2018 We consider statistical submanifolds of Hessian manifolds of constant Hessian curvature. For such submanifolds we establish a Euler inequality and a Chen-Ricci inequality with respect to a sectional curvature of the ambient Hessian manifold.
Adela Mihai, Ion Mihai
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Chen Inequalities for Statistical Submanifolds of Kähler-Like Statistical Manifolds [PDF]
Mathematics, 2019 We consider Kähler-like statistical manifolds, whose curvature tensor field satisfies a natural condition. For their statistical submanifolds, we prove a Chen first inequality and a Chen inequality for the invariant δ ( 2 , 2 ) .
Hülya Aytimur +4 more
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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–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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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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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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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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