Results 61 to 70 of about 732,786 (72)

Inequalities for the Casorati Curvatures of Slant Submanifolds in Quaternionic Space Forms [PDF]

Journal of Inequalities and Applications, 2014
In this paper we prove two sharp inequalities that relate the normalized scalar curvature with the Casorati curvature for a slant submanifold in a quaternionic space form. Moreover, we show that in both cases, the equality at all points characterizes the
Gabriel-Eduard Vilcu, Vladimir Šlesar, Bayram Şahin   +2 more
exaly   +2 more sources

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

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.
Pan Zhang, Liang Zhang
exaly   +2 more sources

Inequalities on Sasakian Statistical Manifolds in Terms of Casorati Curvatures

Mathematics, 2018
A statistical structure is considered as a generalization of a pair of a Riemannian metric and its Levi-Civita connection. With a pair of conjugate connections ∇ and ∇ * in the Sasakian statistical structure, we provide the ...
Jae Won Lee, Chul Woo Lee
exaly   +2 more sources

Optimal Inequalities Involving Casorati Curvatures for Riemannian Maps to Nearly Kaehler Manifolds

Journal of Inequalities and Applications
We establish a general inequality and optimal inequalities involving the normalized Casorati curvatures and the generalized normalized Casorati curvatures within the horizontal space of a Riemannian map from a Riemannian manifold to a nearly Kaehler ...
Rachna Rani, Tanveer Fatima
exaly   +2 more sources

Optimal Inequalities for the Casorati Curvatures of Submanifolds in Generalized Space Forms Endowed With Semi-Symmetric Non-Metric Connections

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 ...
Hairong Liu, Guoqing He
exaly   +2 more sources

Generalized Normalized \varvec{\delta } δ -Casorati Curvature for Statistical Submanifolds in Quaternion Kaehler-Like Statistical Space Forms

Journal of Geometry, 2018
Mohammad Hasan Shahid, Mohd Aquib
exaly  

Inequalities for Generalized Normalized δ-Casorati Curvatures of Slant Submanifolds in Quaternionic Space Forms

Taiwanese Journal of Mathematics, 2015
Gabriel-Eduard Vilcu
exaly  

Optimal Inequalities for the Normalized δ-Casorati Curvatures of Submanifolds in Kenmotsu Space Forms

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

Inequalities for the Casorati Curvatures of Real Hypersurfaces in Some Grassmannians

Taiwanese Journal of Mathematics, 2018
Kwang-Soon Park
exaly  

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
Gabriel-Eduard Vilcu, Jae Won Lee, Dae Won Yoon   +2 more
exaly