Inequalities for casorati curvatures of submanifolds in real space forms [PDF]
Advances in Geometry, 2016 Abstract Using Oprea’s optimization methods on submanifolds, we give another proof of the inequalities relating the normalized δ-Casoraticurvature δ ^
Zhang, Pan, Zhang, Liang
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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 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liang Zhang, Pan Zhang
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Axioms, 2023 In the present article, we consider submanifolds in golden Riemannian manifolds with constant golden sectional curvature. On such submanifolds, we prove geometric inequalities for the Casorati curvatures.
Majid Ali Choudhary, Ion Mihai
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Bounds for Statistical Curvatures of Submanifolds in Kenmotsu-like Statistical Manifolds
Mathematics, 2022 In this article, we obtain certain bounds for statistical curvatures of submanifolds with any codimension of Kenmotsu-like statistical manifolds. In this context, we construct a class of optimum inequalities for submanifolds in Kenmotsu-like statistical ...
Aliya Naaz Siddiqui +2 more
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Optimal inequalities for Riemannian maps and Riemannian submersions involving Casorati curvatures
Annali di Matematica Pura ed Applicata (1923 -), 2020 The authors consider Riemannian maps and Riemannian submersions to obtain optimal inequalities in the theory of Riemannian maps, Riemannian submersions to space forms. The method is based on Casorati curvature. The important results in this work are described in the following sections: Riemannian maps to real space forms, Riemannian maps to complex ...
Chul Woo Lee +3 more
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The geometric evolution of aortic dissections: Predicting surgical success using fluctuations in integrated Gaussian curvature. [PDF]
PLoS Comput BiolClinical imaging modalities are a mainstay of modern disease management, but the full utilization of imaging-based data remains elusive. Aortic disease is defined by anatomic scalars quantifying aortic size, even though aortic disease progression ...
Khabaz K +15 more
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Recent developments in δ-Casorati curvature invariants
TURKISH JOURNAL OF MATHEMATICS, 2021 One of the basic problems in submanifold theory is to find simple relationships between the main extrinsic and intrinsic invariants of a submanifold. In order to obtain viable solutions to this problem, the author introduced in the early 1990's new types of Riemannian invariants, known as \(\delta\)-invariants or Chen invariants.
Bang-Yen Chen
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Optimal inequalities involving Casorati curvatures for Riemannian maps to nearly Kaehler manifolds
Journal of Inequalities and ApplicationsWe 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 ...
Tanveer Fatima +5 more
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A pinching theorem for statistical manifolds with Casorati curvatures
The Journal of Nonlinear Sciences 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.
Lee, Chul Woo +2 more
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Optimal inequalities for the Casorati curvatures of submanifolds of real space forms endowed with semi-symmetric metric connections [PDF]
Journal of Inequalities and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chul Woo Lee, Dae Won Yoon, Jae Won Lee
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