Results 71 to 80 of about 277 (116)
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
On Thurston's geometrical space form problem: on quasi space forms
, 2023 A proposal is made for what may well be the most elementary Riemannian spaces which are homogeneous but not isotropic. In other words: a proposal is made for what may well be the nicest symmetric spaces beyond the real space forms, that is, beyond the ...
Haesen, Stefan +2 more
core
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
Curvature Pinching Conditions in Quaternionic Manifolds Under Quarter-Symmetric Metric Connections
AxiomsThis 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
Non-existence of Hopf real hypersurfaces in complex quadric with recurrent Ricci tensor [PDF]
, 2018 In this paper, we first introduce the notion of recurrent Ricci tensor which is the generalization of parallel Ricci tensor in the complex quadric Qm = SOm+2 /SOm SO2.
Bansal, Pooja, Shahid, Mohammad H.
core +1 more source
NMR in Biomedicine, Volume 37, Issue 8, August 2024.Dynamic images can be modeled as points on a smooth nonlinear manifold embedded in a high dimensional ambient space. The manifold regularization exploits the neighborhood relations of points on this manifold. Image frames sharing similar vocal tract postures are mapped as neighbors on the manifold even if they occur at different times (see the red and ...
Rushdi Zahid Rusho +8 more
wiley +1 more source
VARIATIONAL PROBLEMS FOR INTEGRAL INVARIANTS OF THE SECOND FUNDAMENTAL FORM OF A MAP BETWEEN PSEUDO-RIEMANNIAN MANIFOLDS [PDF]
We study variational problems for integral invariants, which are defined as integrations of invariant functions of the second fundamental form, of a smooth map between pseudo-Riemannian manifolds.
Akiyama, Rika +2 more
core +1 more source
Geometric inequalities and equality conditions for slant submersions in Kenmotsu space forms [PDF]
This study explored specific inequalities related to the scalar and Ricci curvatures of slant submersions in Kenmotsu space forms. We derived important geometric bounds and systematically investigated the conditions under which these bounds converge to ...
Ibrahim Al-Dayel +3 more
core +1 more source
Filomat, 2022 In this paper, we obtain some inequalities based on Casorati curvature for submanifolds in a real space form with a special kind of quarter-symmetric connection.
openaire +1 more source
The bellows conjecture for small flexible polyhedra in non-Euclidean spaces
, 2016 The bellows conjecture claims that the volume of any flexible polyhedron of dimension 3 or higher is constant during the flexion. The bellows conjecture was proved for flexible polyhedra in the Euclidean spaces of dimensions 3 and higher, and for bounded
Gaifullin, Alexander A.
core