Results 81 to 90 of about 121 (91)
Optimal Inequalities for the Casorati Curvatures of Submanifolds in Generalized Space Forms Endowed with Semi-Symmetric Non-Metric Connections [PDF]
Symmetry, 2016 In this paper, we prove some optimal inequalities involving the intrinsic scalar curvature and the extrinsic Casorati curvature of submanifolds in a generalized complex space form with a semi-symmetric non-metric connection and a generalized Sasakian space form with a semi-symmetric non-metric connection.
Hairong Liu
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Optimal inequalities for the normalizedδ-Casorati curvatures of submanifolds in Kenmotsu space forms
Advances in Geometry, 2017AbstractIn 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 +2 more
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Journal of Geometry, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohd Aquib +2 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohd Aquib +2 more
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Optimization Approach for Bounds Involving Generalized Normalized $$\delta $$ -Casorati Curvatures
2018By 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
2022In 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 +2 more
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A Geometric Interpretation of Cauchy-Schwarz Inequality in Terms of Casorati Curvature
2017In 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. +1 more
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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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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, 2017Chul Woo Lee +2 more
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