Results 81 to 90 of about 121 (91)

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
openaire   +1 more source

Generalized normalized $$\varvec{\delta }$$ δ -Casorati curvature for statistical submanifolds in quaternion Kaehler-like statistical space forms

Journal of Geometry, 2018
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Aquib, Mohd., Shahid, Mohammad Hasan
openaire   +2 more sources

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
openaire   +1 more source

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
openaire   +1 more source

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

Axioms, 2023
Ion Mihai, Majid Ali Choudhary, Mihai Ion   +2 more
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
openaire   +1 more source

Optimal inequalities for the normalizedδ-Casorati curvatures of submanifolds in Kenmotsu space forms

Advances in Geometry, 2017
Gabriel-Eduard Vilcu, Jae Won Lee, Chul Woo Lee   +2 more
exaly  

Certain Optimal Inequalities for Casorati Curvatures in Quaternion Geometry

Mohd Danish Siddiqi, Aliya Naaz Siddiqui, Kamran Ahmad   +2 more
openaire   +1 more source

Optimal inequalities for the Casorati curvatures of submanifolds of real space forms endowed with semi-symmetric metric connections

Journal of Inequalities and Applications, 2014
Jae Won Lee, Dae Won Yoon, Chul Woo Lee
exaly  

Optimal Inequalities for Generalized Normalized δ-Casorati Curvatures for Hi-Slant Submanifolds of Kenmotsu Space Forms

Journal of Dynamical Systems and Geometric Theories, 2019
Mehraj Ahmad Lone
exaly