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Background Noise Removal in Non-Contrast- Enhanced Ultrasound Microvasculature Imaging Using Combined Collaborative, Morphological, and Vesselness Filtering. [PDF]

IEEE Access
Sabeti S, Fatemi M, Alizad A.
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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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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, 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, Mohamd Saleem Lone, Crina Neacşu, Gabriel-Eduard Vîlcu   +3 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 ...
Malek, Fereshteh, Akbari, Haniyeh
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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 Vîlcu   +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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Choudhary, Majid Ali, Park, Kwang-Soon
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Generalized normalized $$\varvec{\delta }$$ δ -Casorati curvature for statistical submanifolds in quaternion Kaehler-like statistical space forms

Journal of Geometry, 2018
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Aquib, Mohd., Shahid, Mohammad Hasan
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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
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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 on Riemannian Warped Product Submersions for Vertical Casorati Curvatures

Mediterranean Journal of Mathematics, 2023
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MURATHAN, CENGİZHAN, Siddiqui, Aliya Naaz, Erken, Irem Küpeli   +2 more
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