Results 51 to 60 of about 194 (131)
Surfaces with Constant Negative Curvature
In this paper, we have considered surfaces with constant negative Gaussian curvature in the simply isotropic 3-Space by defined Sauer and Strubeckerr.
İbrahim Gürgil, Semra Kaya Nurkan
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A pinching theorem for statistical manifolds with Casorati curvatures
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
openaire +2 more sources
BACK TO A REAL WORLD: THE GENESIS OF CASORATI’S LAST PAPER
In his last paper, Felice Casorati proposed an extrinsic measure of curvature of a surface that vanishes only on planes. His proposal triggered strong reactions in the mathematical community that we examine here, also by use of unpublished material.
Pisati A., Rosso Riccardo
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Remarks on inequalities for the Casorati curvatures of slant submanifolds in quaternionic space forms [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Pan, Zhang, Liang
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Bounds of generalized normalized $$\delta $$δ-Casorati curvatures for real hypersurfaces in the complex quadric [PDF]
In this paper, the authors prove two optimal inequalities that relate the normalized scalar curvature with the generalized normalized Casorati curvatures for a real hypersurface in the complex quadric \(Q^m\). The proof is based on an optimization procedure involving a quadratic polynomial in the components of the second fundamental form.
Bansal, Pooja, Shahid, Mohammad Hasan
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Curvature Pinching Conditions in Quaternionic Manifolds Under Quarter-Symmetric Metric Connections
This work presents a pair of sharp geometric inequalities that connect the normalized scalar curvature with the generalized normalized δ-Casorati curvature for θ-slant submanifolds immersed in quaternionic space forms endowed with a quarter-symmetric ...
Md Aquib, Ibrahim Al-Dayel
doaj +1 more source
ABSTRACT Purpose To develop a slice‐wise blurring‐free and densely sampled TE‐resolved multiple‐TE (mTE) ASL sequence (TASL) for measuring blood–brain barrier (BBB) water exchange time. Methods A 3D TSE spiral‐readout pCASL sequence was modified to enable TE‐resolved acquisition.
Bo Li +11 more
wiley +1 more source
Abstract figure legend Schematic overview of the experimental and computational framework for investigating hiPSC‐CM electrophysiology with MEA systems. The MEA‐based model integrates experimental data with phenotype‐specific ionic models and tissue‐level heterogeneity.
Sofia Botti +2 more
wiley +1 more source
ABSTRACT Purpose To develop a denoising technique for displacement encoding with stimulated echoes (DENSE) MRI that improves spatial resolution, efficiency, and accuracy, and enhances accessibility by implementing DENSE MRI at 0.55 T. Methods We developed a low‐rank denoising technique, which leverages multidimensional spiral cine DENSE MRI data for ...
Shu‐Fu Shih +9 more
wiley +1 more source
Bakry–Émery curvature-dimension condition and Riemannian Ricci curvature bounds [PDF]
The aim of the present paper is to bridge the gap between the Bakry-Émery and the Lott-Sturm-Villani approaches to provide synthetic and abstract notions of lower Ricci curvature bounds.
Gigli, Nicola +8 more
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