Results 71 to 80 of about 469 (136)
An Optimal Inequality for Warped Product Pointwise Semi-Slant Submanifolds in Complex Space Forms
AxiomsIn this paper, we utilize advanced optimization techniques on Riemannian submanifolds to establish two distinct inequalities concerning the generalized normalized δ-Casorati curvatures of warped product pointwise semi-slant (WPPSS) submanifolds within ...
Md Aquib
doaj +1 more source
The flux homomorphism on closed hyperbolic surfaces and Anti-de Sitter three-dimensional geometry
, 2017 Given a smooth spacelike surface $\Sigma$ of negative curvature in Anti-de Sitter space of dimension 3, invariant by a representation $\rho:\pi_1(S)\to\mathrm{PSL}_2\mathbb{R}\times\mathrm{PSL}_2\mathbb{R}$ where $S$ is a closed oriented surface of genus
Seppi, Andrea
core +2 more sources
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.
Lee, Chul, Yoon, Dae, Lee, Jae
openaire +2 more sources
3D MR fingerprinting for dynamic contrast‐enhanced imaging of whole mouse brain
Magnetic Resonance in Medicine, Volume 93, Issue 1, Page 67-79, January 2025.Abstract Purpose Quantitative MRI enables direct quantification of contrast agent concentrations in contrast‐enhanced scans. However, the lengthy scan times required by conventional methods are inadequate for tracking contrast agent transport dynamically in mouse brain. We developed a 3D MR fingerprinting (MRF) method for simultaneous T1 and T2 mapping
Yuran Zhu +11 more
wiley +1 more source
The Ahlfors lemma and Picard's theorems [PDF]
, 2015 The article introduces Ahlfors' generalization of the Schwarz lemma. With this powerful geometric tool of complex functions in one variable, we are able to prove some theorems concerning the size of images under holomorphic mappings, including the ...
Simonič, Aleksander
core
Magnetic Resonance in Medicine, Volume 93, Issue 1, Page 228-244, January 2025.Abstract Purpose To introduce quantitative rapid gradient‐echo (QRAGE), a novel approach for the simultaneous mapping of multiple quantitative MRI parameters, including water content, T1, T2*, and magnetic susceptibility at ultrahigh field strength. Methods QRAGE leverages a newly developed multi‐echo MPnRAGE sequence, facilitating the acquisition of ...
Markus Zimmermann +9 more
wiley +1 more source
Global solution to the Allen-Cahn equation with singular potentials and dynamic boundary conditions
, 2012 We prove well-posedness results for the solution to an initial and boundary-value problem for an Allen-Cahn type equation describing the phenomenon of phase transitions for a material contained in a bounded and regular domain.
Allen +26 more
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Accelerated 3D metabolite T1 mapping of the brain using variable‐flip‐angle SPICE
Magnetic Resonance in Medicine, Volume 92, Issue 4, Page 1310-1322, October 2024.Abstract Purpose To develop a practical method to enable 3D T1 mapping of brain metabolites. Theory and Methods Due to the high dimensionality of the imaging problem underlying metabolite T1 mapping, measurement of metabolite T1 values has been currently limited to a single voxel or slice.
Yibo Zhao +9 more
wiley +1 more source
Some Optimal Bounds for δ-Casorati Curvatures with Slant Factor in Trans-Sasakian Manifolds
MathematicsIn this article, we derive some optimal inequalities for slant submanifolds on trans-Sasakian manifolds coupled with quarter-symmetric non-metric connection (qsnmc), utilizing generalized normalized δ-Casorati curvatures.
Rawan Bossly
doaj +1 more source
An analysis of high order FEM and IGA for explicit dynamics: Mass lumping and immersed boundaries
International Journal for Numerical Methods in Engineering, Volume 125, Issue 16, 30 August 2024.Summary We investigate the behavior of different shape functions for the discretization of hyperbolic problems. In particular, we consider classical Lagrange polynomials and B‐splines. The studies focus on the performance of the these functions as a spatial discretization approach combined with an explicit time marching scheme.
Lars Radtke +5 more
wiley +1 more source