Results 121 to 130 of about 194 (131)

Inequalities for Algebraic Casorati Curvatures and Their Applications II

2017
Different kind of algebraic Casorati curvatures are introduced. A result expressing basic Casorati inequalities for algebraic Casorati curvatures is presented and equality cases are discussed. As their applications, basic Casorati inequalities for different \(\delta \)-Casorati curvatures for different kind of submanifolds of quaternionic space forms ...
Young Jin Suh, Mukut Mani Tripathi
openaire   +1 more source

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
openaire   +2 more sources

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

Casorati Inequalities for Statistical Submanifolds in Kenmotsu Statistical Manifolds of Constant ϕ-Sectional Curvature with Semi-Symmetric Metric Connection

Entropy, 2022
Simona Decu, Gabriel-Eduard Vilcu, Vilcu Gabriel-Eduard   +2 more
exaly  

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

Axioms, 2023
Majid Ali Choudhary, Ion Mihai, Choudhary Majid Ali   +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
Chul Woo Lee, Jae Won Lee, Gabriel-Eduard Vilcu   +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