Results 101 to 110 of about 23,555 (114)

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

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

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
openaire   +1 more source

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  

Optimal Inequalities for Riemannian Maps and Riemannian Submersions Involving Casorati Curvatures

Annali Di Matematica Pura Ed Applicata, 2021
Gabriel-Eduard Vilcu, Jae Won Lee, Bayram Şahin   +2 more
exaly  

An Optimal Inequality for Lagrangian Submanifolds in Complex Space Forms Involving Casorati Curvature

Journal of Mathematical Analysis and Applications, 2018
Gabriel-Eduard Vilcu
exaly  

Casorati Curvatures of Submanifolds in Cosymplectic Statistical Space Forms

Bulletin of the Iranian Mathematical Society, 2020
Fereshteh Malek, Haniyeh Akbari
exaly