Results 71 to 80 of about 121 (91)
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Casorati Curvatures of Submanifolds in Cosymplectic Statistical Space Forms
Bulletin of the Iranian Mathematical Society, 2019The 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 ...
Fereshteh Malek, Haniyeh Akbari
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On Casorati Curvatures of Submanifolds in Pointwise Kenmotsu Space Forms
Mathematical Physics Analysis and Geometry, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gabriel-Eduard Vilcu +2 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.
Adara M Blaga +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.
Adara M Blaga +2 more
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Journal of Geometry, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kwang-Soon Park +2 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kwang-Soon Park +2 more
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Lower Bounds on Statistical Submersions with vertical Casorati curvatures
International Journal of Geometric Methods in Modern Physics, 2021In this paper, we obtain lower bounds for the normalized scalar curvature on statistical submersion with the normalized [Formula: see text]-vertical Casorati curvatures. Also, we discuss the conditions for which the equality cases hold. Beside this, we determine the statistical solitons on statistical submersion from statistical manifolds and ...
Aliya Naaz Siddiqui +3 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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Inequalities for Algebraic Casorati Curvatures and Their Applications II
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, Mukut Mani Tripathi
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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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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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