Results 71 to 80 of about 121 (91)
A pinching theorem for statistical manifolds with Casorati curvatures
Journal of Nonlinear Science and Applications, 2017 Summary: With a pair of conjugate connections \(\overline{\nabla}\) and \(\overline{\nabla}^*\), we derive optimal Casorati inequalities with the normalized scalar curvature on submanifolds of a statistical manifold of constant curvature.
Chul Woo Lee, Jae Won Lee
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Inequalities for Algebraic Casorati Curvatures and Their Applications II
Springer Proceedings in Mathematics and Statistics, 2017Different 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 +2 more
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Inequalities for Riemannian Submersions Involving Casorati Curvatures: A New Approach
6th International Students Science Congress Proceedings Book, 2022For surfaces in a Euclidean 3-space Casorati [4] introduced a new curvature in 1890 what is today called the Casorati curvature. This curvature was preferred by Casorati over Gauss curvature because Gauss curvature may vanish for surfaces that look intuitively curved, while Casorati curvature only vanishes at the planer points. The Casorati curvature
Gülistan Polat +2 more
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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2023
This article is about \(\delta\)-Casorati curvature invariants of Lagrangian submanifolds of quaternionic space forms. Let us explain these terms one by one, in reverse order. Let \((M,g,\mathcal Q)\) be a quaternionic Kähler manifold, where \(\mathcal Q\subset \mathrm{End}\,(TM)\) is the quaternionic structure bundle.
Mohd Aquib +3 more
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This article is about \(\delta\)-Casorati curvature invariants of Lagrangian submanifolds of quaternionic space forms. Let us explain these terms one by one, in reverse order. Let \((M,g,\mathcal Q)\) be a quaternionic Kähler manifold, where \(\mathcal Q\subset \mathrm{End}\,(TM)\) is the quaternionic structure bundle.
Mohd Aquib +3 more
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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 +2 more
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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 +2 more
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Journal of Geometry, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Majid Ali Choudhary +2 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Majid Ali Choudhary +2 more
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Bounds for generalized normalized δ-Casorati curvatures for Bi-slant submanifolds in T-space forms
Filomat, 2018 In this paper, we prove the inequality between the generalized normalized ?-Casorati curvatures and the normalized scalar curvature for the bi-slant submanifolds in T-space forms and consider the equality case of the inequality. We also develop same results for semi-slant submanifolds, hemi-slant submanifolds, CR-submanifolds, slant ...
Mohd Aquib, Aquib Mohd
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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.
Chul Woo Lee +2 more
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Certain Optimal Inequalities for Casorati Curvatures in Quaternion Geometry
Infosys Science Foundation SeriesMohd Danish Siddiqi, Aliya Naaz Siddiqui
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Certain inequalities for the Casorati curvatures of submanifolds of generalized (k,μ)-space-forms
Asian-European Journal of Mathematics, 2018The 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 +3 more
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