Results 21 to 30 of about 1,077 (113)
On a Riemannian Invariant of Chen Type
Rocky Mountain Journal of Mathematics, 2008 The paper is submitted to Rocky Mountain Journal of ...
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Inequalities involving k-Chen invariants for submanifolds of Riemannian product manifolds
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2018 Summary: An optimal inequality involving the scalar curvatures, the mean curvature and the \(k\)-Chen invariant is established for Riemannian submanifolds. Particular cases of this inequality is reported. Furthermore, this inequality is investigated on submanifolds, namely slant, \(F\)-invariant and \(F\)-anti invariant submanifolds of an almost ...
Gülbahar, Mehmet +2 more
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Advances in Difference Equations, 2018 The construction of implicit Runge–Kutta–Nyström (RKN) method is considered in this paper. Based on the symmetric, symplectic, and exponentially fitted conditions, a class of implicit RKN integrators is obtained.
Huai Yuan Zhai +2 more
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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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Extremities Involving B. Y. Chen’s Invariants for Real Hypersurfaces in Complex Quadric
International Electronic Journal of Geometry, 2018 Summary: The article is concerned with the study of real hypersurfaces of the complex quadric \(Q^m\). We establish B. Y. Chen's inequalities for real hypersurfaces of the complex quadric \(Q^m\) and by considering the equality case, we obtain some consequences.
BANSAL, Pooja +2 more
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Chen invariants for Riemannian submersions and their applications in meteorology
, 2017 We will completely change our results and presentation.
Gulbahar, Mehmet +2 more
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On Chen invariant of CR-submanifolds in a complex hyperbolic space
Tsukuba Journal of Mathematics, 2002 Recently \textit{B. Y. Chen} [Jap. J. Math., New Ser. 26, No. 1, 105--127 (2000; Zbl 1026.53009)] introduced an invariant for a Riemannian manifold and obtained a sharp inequality between his invariant and the squared mean curvature for a CR-submanifolds \(M\) in real spaceforms.
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On Hecke lifting conjecture for framed knots
European Physical Journal C: Particles and FieldsMotivated by an amazing integrality structure conjecture for the U(N) Chern–Simons quantum invariants of framed knots investigated by Mariño and Vafa, a new conjectural formula, named Hecke lifting conjecture, was proposed in Chen et al.
Shengmao Zhu
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MathematicsWe establish an improved Chen inequality involving scalar curvature and mean curvature and geometric inequalities for Casorati curvatures, on slant submanifolds in a Lorentzian–Sasakian space form endowed with a semi-symmetric non-metric connection. Also,
Mohammed Mohammed +2 more
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Chen inequalities on warped product Legendrian submanifolds in Kenmotsu space forms and applications
Journal of Inequalities and ApplicationsIn the current work, we study the geometry and topology of warped product Legendrian submanifolds in Kenmotsu space forms F 2 n + 1 ( ϵ ) $\mathbb{F}^{2n+1}(\epsilon )$ and derive the first Chen inequality, including extrinsic invariants such as the mean
Fatemah Abdullah Alghamdi +2 more
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