Results 1 to 10 of about 13,449 (192)
An Algebraic Inequality with Applications to Certain Chen Inequalities [PDF]
Axioms, 2021 We give a simple proof of the Chen inequality for the Chen invariant δ(2,…,2)︸k terms of submanifolds in Riemannian space forms.
Ion Mihai, Mihai Ion
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Improved Chen’s Inequalities for Submanifolds of Generalized Sasakian-Space-Forms
Axioms, 2022 In this article, we derive Chen’s inequalities involving Chen’s δ-invariant δM, Riemannian invariant δ(m1,⋯,mk), Ricci curvature, Riemannian invariant Θk(2≤k≤m), the scalar curvature and the squared of the mean curvature for submanifolds of generalized ...
Yanlin Li +2 more
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Mathematics, 2022 Chen’s first inequality for statistical submanifolds in Hessian manifolds of constant Hessian curvature was obtained by B.-Y. Chen et al. Other particular cases of Chen inequalities in a statistical setting were given by different authors.
Ion Mihai, Mihai Ion
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Mathematics, 2022 In this paper, we prove some inequalities between intrinsic and extrinsic curvature invariants, namely involving the Chen first invariant and the mean curvature of totally real and holomorphic spacelike submanifolds in statistical manifolds of type para ...
Simona Decu, Stefan Haesen
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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 ...
Ali H. Al-Khaldi +3 more
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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 ) .
Hulya Aytimur +2 more
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Chen optimal inequalities of CR-warped products of generalized Sasakian space form
Journal of Taibah University for Science, 2020 Our main objective of this paper is to derive the relationship between the main extrinsic invariant, and the contact CR δ-invariant (new intrinsic invariant) on a generic submanifold in trans-Sasakian generalized Sasakian space forms.
Aliya Naaz Siddiqui +2 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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B.-Y. CHEN INEQUALITIES FOR SUBMANIFOLDS IN GENERALIZED COMPLEX SPACE FORMS [PDF]
Bulletin of the Korean Mathematical Society, 2003 Some relationships between intrinsic and extrinsic invariants of submanifolds in generalized space forms are studied. They are established for slant, totally real and invariant submanifolds in generalized complex space forms, complex space forms and RK-manifolds.
Jeong-Sik Kim
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Β. Y. CHEN INEQUALITIES FOR SLANT SUBMANIFOLDS IN COMPLEX SPACE FORMS
Demonstratio Mathematica, 1999 The reviewer introduces in [Japan. J. Math. 26, No. 1, 105-127 (2000)] a string of new Riemannian invariants, denoted by \(\delta(n_1,\ldots,n_k)\), and establishes sharp inequalities between the invariants and the squared mean curvature for an arbitrary submanifold in a real space form.
Ion Mihai
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