Results 91 to 100 of about 23,555 (114)

Casorati Curvatures of Submanifolds in Cosymplectic Statistical Space Forms

Bulletin of the Iranian Mathematical Society, 2019
The study of statistical manifolds was initiated by \textit{S.-i. Amari} [Differential-geometrical methods in statistics. Springer, Cham (1985; Zbl 0559.62001)]. \textit{M. E. Aydin} et al. [Filomat 29, No. 3, 465--477 (2015; Zbl 1474.53071)] studied curvature properties of submanifolds in statistical manifolds of constant curvature, and established ...
Malek, Fereshteh, Akbari, Haniyeh
openaire   +1 more source

On Casorati Curvatures of Submanifolds in Pointwise Kenmotsu Space Forms

Mathematical Physics, Analysis and Geometry, 2019
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Mehraj Ahmad Lone, Mohammad Hasan Shahid, Gabriel-Eduard Vîlcu   +2 more
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Remarks on Inequalities for the Casorati Curvatures of Slant Submanifolds in Quaternionic Space Forms [PDF]

Journal of Inequalities and Applications, 2014
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Zhang, Pan, Zhang, Liang
exaly   +3 more sources

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 Casorati Curvatures of Submanifolds of Generalized Space Forms Endowed With Semi-Symmetric Metric Connections

Bulletin of the Korean Mathematical Society, 2015
Summary: In this paper, we prove two optimal inequalities involving the intrinsic scalar curvature and extrinsic Casorati curvature of submanifolds of generalized space forms endowed with a semi-symmetric metric connection. Moreover, we also characterize those submanifolds for which the equality cases hold.
Gabriel-Eduard Vilcu, Jae Won Lee, Dae Won Yoon   +2 more
exaly   +4 more sources

Certain inequalities for the Casorati curvatures of submanifolds of generalized (k,μ)-space-forms

Asian-European Journal of Mathematics, 2018
The paper deals with the study of Casorati curvature of submanifolds of generalized [Formula: see text]-space-form with respect to Levi-Civita connection as well as semisymmetric metric connection and derived two optimal inequalities between scalar curvature and Casorati curvature of such space forms. The equality cases are also considered.
Hui, Shyamal Kumar, Mandal, Pradip, Alkhaldi, Ali H., Pal, Tanumoy   +3 more
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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Mohammad Hasan Shahid, Mohd Aquib
exaly   +3 more sources

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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Casorati Inequalities for Submanifolds in a Riemannian Manifold of Quasi-Constant Curvature With a Semi-Symmetric Metric Connection [PDF]

Symmetry, 2016
By using new algebraic techniques, two Casorati inequalities are established for submanifolds in a Riemannian manifold of quasi-constant curvature with a semi-symmetric metric connection, which generalize inequalities obtained by Lee et al. J. Inequal. Appl. 2014, 2014, 327.
Zhang, Pan, Zhang, Liang
exaly   +2 more sources

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
openaire   +2 more sources