Results 61 to 70 of about 121 (91)
The geometric evolution of aortic dissections: Predicting surgical success using fluctuations in integrated Gaussian curvature. [PDF]
PLoS Comput BiolKhabaz K +15 more
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In this paper, we establish Casorati inequalities for Riemannian maps and Riemannian submersions involving quaternionic space forms, and we provide geometric characterisations of their equality cases. First, we derive Casorati inequalities for Riemannian maps to quaternionic space forms and describe the corresponding equality cases, showing that the ...
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Inequalities for the Casorati Curvatures of Real Hypersurfaces in Some Grassmannians
Taiwanese Journal of Mathematics, 2018 In this paper we obtain two types of optimal inequalities consisting of the normalized scalar curvature and the generalized normalized $δ$-Casorati curvatures for real hypersurfaces of complex two-plane Grassmannians and complex hyperbolic two-plane Grassmannians. We also find the conditions on which the equalities hold.
Kwang-Soon Park
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Inequalities on Riemannian Warped Product Submersions for Vertical Casorati Curvatures
Mediterranean Journal of Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Irem KÜPELI Erken +2 more
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Optimal inequalities for Riemannian maps and Riemannian submersions involving Casorati curvatures
Annali Di Matematica Pura Ed Applicata, 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 +2 more
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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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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.
Mehraj Ahmad Lone +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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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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