Results 121 to 130 of about 200,234 (137)

Inequalities for generalized normalized $$\delta $$-Casorati curvatures of slant submanifolds in metallic Riemannian space forms

Journal of Geometry, 2020
Chen's invariants (also known as \(\delta\)-invariants) are a tool for studying the relation between intrinsic invariants and extrinsic invariants, by establishing a sharp inequality. The concept of slant submanifold was introduced by \textit{B.-Y. Chen} [Geometry of slant submanifolds. Leuven: Kath. Univ. Leuven, Dept.
Majid Ali Choudhary, Adara M. Blaga
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Optimal inequalities for the normalizedδ-Casorati curvatures of submanifolds in Kenmotsu space forms

Advances in Geometry, 2017
AbstractIn this paper, we establish two sharp inequalities for the normalizedδ-Casorati curvatures of submanifolds in a Kenmotsu space form, tangent to the structure vector field of the ambient space.Moreover, we show that in both cases the equality at all points characterizes the totally geodesic submanifolds.
Lee, Chul Woo, Lee, Jae Won, Vîlcu, Gabriel-Eduard   +2 more
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Optimization on slant submanifolds of golden Riemannian manifolds using generalized normalized $$\delta $$-Casorati curvatures

Journal of Geometry, 2020
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Choudhary, Majid Ali, Park, Kwang-Soon
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Optimization Approach for Bounds Involving Generalized Normalized $$\delta $$ -Casorati Curvatures

2018
By using T. Oprea’s optimization method on a real hypersurfaces of complex quadric \(Q^{m}\) with QSMC, we prove extremal inequalities concerning normalized scalar curvature and generalized normalized \(\delta \)-Casorati curvatures. Moreover, we show the equilibrium cases at all points which signalize the invariantly quasi-umbilical real hypersurfaces.
Pooja Bansal, Mohammad Hasan Shahid
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Some bounds for Casorati curvatures on Golden Riemannian space forms with SSM connection

2022
In this article, we derive some sharp inequalities for slant submanifolds immersed into golden Riemannian space forms with a semi-symmetric metric connection. Also, we characterize submanifolds for the case of equalities. Lastly, we discuss these inequalities for some special submanifolds.
Lee, Jae Won, Choudhary, Majid Ali, Sıddıquı, Aliya Naaz   +2 more
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A Geometric Interpretation of Cauchy-Schwarz Inequality in Terms of Casorati Curvature

2017
In a visionary short paper published in 1855, Ossian Bonnet derived a theorem relating prescribedcurvature conditions to the admissible maximal length of geodesics on a surface. Bonnet’s workopened the pathway for the quest of further connections between curvature conditions andother geometric properties of surfaces, hypersurfaces or Riemannian ...
BRUBAKER, Nicholas D., SUCEAVA, Bogdan D.   +1 more
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Lower Bounds on Statistical Submersions With Vertical Casorati Curvatures

International Journal of Geometric Methods in Modern Physics, 2022
Mohd Danish Siddiqi, Akram Ali, Ali H Alkhaldi   +2 more
exaly  

Inequalities for the Generalized Normalized δ-Casorati Curvatures of Submanifolds in Golden Riemannian Manifolds

Axioms, 2023
Ion Mihai, Majid Ali Choudhary
exaly  

Estimates of B.-Y. Chen’s δˆ-Invariant in Terms of Casorati Curvature and Mean Curvature for Strictly Convex Euclidean Hypersurfaces

2018
B.-Y. Chen’s δˆ-invariants can be estimated in function of other curvature terms through an algebraicprocess using the AM-GM and AM-QM inequalities. This procedure works on strictly convexsmooth hypersurfaces lying in an Euclidean ambient space, and the estimates relate some  δˆ-invariants to Germain’s mean curvature and ...
Suceava, Bogdan D., Vajiac, Mihaela
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Casorati Inequalities for Statistical Submanifolds in Kenmotsu Statistical Manifolds of Constant ϕ-Sectional Curvature With Semi-Symmetric Metric Connection

Entropy, 2022
Gabriel-Eduard Vilcu, Simona Decu
exaly