Results 111 to 120 of about 194 (131)

Large-scale super-resolution optoacoustic imaging facilitated by FeNP/ICG-loaded coreless polyelectrolyte microcapsules. [PDF]

Theranostics
Nozdriukhin D, Lyu S, Razansky D, Deán-Ben XL.   +3 more
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Optimal inequalities involving Casorati curvatures along Riemannian maps and Riemannian submersions for quaternionic space form

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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On $$\delta $$-Casorati curvature invariants of Lagrangian submanifolds in quaternionic Kähler manifolds of constant q-sectional curvature

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 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, Gabriel-Eduard Vilcu, Aquib Mohd   +2 more
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Casorati Curvatures of Submanifolds in Cosymplectic Statistical Space Forms

Bulletin of the Iranian Mathematical Society, 2019
The 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, 2019
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Mehraj Ahmad Lone, Mohammad Hasan Shahid, Gabriel-Eduard Vilcu   +2 more
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Inequalities for generalized normalized $$\delta $$-Casorati curvatures of slant submanifolds in metallic Riemannian space forms

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, Adara M Blaga, Choudhary Majid Ali   +2 more
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Optimization on slant submanifolds of golden Riemannian manifolds using generalized normalized $$\delta $$-Casorati curvatures

Journal of Geometry, 2020
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Majid Ali Choudhary, Kwang-Soon Park, Choudhary Majid Ali   +2 more
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Lower Bounds on Statistical Submersions with vertical Casorati curvatures

International Journal of Geometric Methods in Modern Physics, 2021
In 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, Mohd Danish Siddiqi, Ali H. Alkhaldi, Akram Ali   +3 more
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Inequalities for Riemannian Submersions Involving Casorati Curvatures: A New Approach

6th International Students Science Congress Proceedings Book, 2022
For 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, Bayram Şahin, Jae Won Lee   +2 more
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Certain inequalities for the Casorati curvatures of submanifolds of generalized (k,μ)-space-forms

Asian-European Journal of Mathematics, 2018
The 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, Mandal, Pradip, Alkhaldi, Ali H., Pal, Tanumoy   +3 more
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