Results 71 to 80 of about 1,610,660 (210)

Equivariant vector bundles on quantum homogeneous spaces [PDF]

, 2008
The notion of quantum group equivariant homogeneous vector bundles on quantum homogeneous spaces is introduced. The category of such quantum vector bundles is shown to be exact, and its Grothendieck group is determined. It is also shown that the algebras
R. B. Zhang, Zhang, Ruibin, Guanglian Zhang, Zhang, Guanglian   +3 more
core   +1 more source

Association Between Motor Pathway Damage and Motor Deficit in Upper and Lower Limb in People With MS

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Corticospinal tract damage is common in people with MS, but the degree of clinical symptoms varies. We hypothesize that corticospinal tract lesions are more extensive and severe in people with MS with motor impairments in both upper and lower limbs.
Mathilde Liffran, Malo Gaubert, Alice Dufey, Elise Bannier, Audrey Rico, Jean‐Christophe Ferré, Raphaël Chouteau, Laure Michel, Emmanuelle Le Page, Virginie Callot, Bertrand Audoin, Sarah Demortière, Benoît Combès, Anne Kerbrat   +13 more
wiley   +1 more source

Generalized Cross-Curvature Solitons of 3D Lorentzian Lie Groups

Axioms
We investigate left-invariant generalized cross-curvature solitons on simply connected three-dimensional Lorentzian Lie groups. Working with the assumption that the contravariant tensor Pij (defined from the Ricci tensor and scalar curvature) is ...
Mehdi Jafari
doaj   +1 more source

Sex‐Stratified Association of Regional Dopamine Transporter Binding With Disease Progression in Amyotrophic Lateral Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To clarify the clinical relevance of dopamine transporter single‐photon emission computed tomography (DAT‐SPECT) abnormalities in amyotrophic lateral sclerosis (ALS), with a prespecified focus on sex‐stratified associations with disease progression and short‐term prognosis.
Tomoya Kawazoe, Keizo Sugaya, Kentaro Hayashi, Keiko Hino, Yasuhiro Nakata, Kota Bokuda, Toshio Shimizu, Kazushi Takahashi   +7 more
wiley   +1 more source

Gravity‐Dependent Modulation of Downbeat Nystagmus: Insights From Velocity‐Storage Dysfunction

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Downbeat nystagmus varies with head position, a phenomenon termed gravity‐dependent modulation. We aimed to clarify its mechanism using a velocity‐storage model. Methods In 10 patients with downbeat nystagmus due to cerebellar disorders, we recorded eye movements at different pitch‐ and roll‐axis head positions.
Ji‐Hyung Park, Eun‐Hyuk Choi, Jorge Otero‐Millan, David S. Zee, Jeong‐Yoon Choi, Ji‐Soo Kim   +5 more
wiley   +1 more source

The X-ray Transform and its Application in Nano Crystallography [PDF]

Journal of Optoelectronical Nanostructures, 2017
In this article a review on the definition of the X- ray transform and some ofits applications in Nano crystallography is presented. We shall show that the X- raytransform is a special case of the Radon transform on homogeneous spaces when thetopological
tajedin derikvand, Rajab Ali Kamyabi-Gol, mohammad janfada   +2 more
doaj  

The Poisson equation in homogeneous Sobolev spaces

International Journal of Mathematics and Mathematical Sciences, 2004
We consider Poisson's equation in an n-dimensional exterior domain G(n≥2) with a sufficiently smooth boundary. We prove that for external forces and boundary values given in certain Lq(G)-spaces there exists a solution in the homogeneous Sobolev space S2,
Tatiana Samrowski, Werner Varnhorn
doaj   +1 more source

Curvature homogeneous spaces whose curvature tensors have large symmetries [PDF]

, 2002
summary:We study curvature homogeneous spaces or locally homogeneous spaces whose curvature tensors are invariant by the action of ``large" Lie subalgebras $\frak{h}$ of $\frak{so}(n)$.
Tsukada, Kazumi
core  

Complementing Engel Classification: Postoperative Scalp EEG as an Objective Indicator in SEEG‐Guided Radiofrequency Thermocoagulation—A Seizure‐Onset Pattern‐Based Stratified Analysis—

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Stereoelectroencephalography‐guided radiofrequency thermocoagulation (SEEG‐RFTC) is a minimally invasive therapy for drug‐resistant focal epilepsy. However, the relationship between specific seizure‐onset patterns (SOPs), particularly low‐voltage fast activity (LVFA), and postoperative scalp EEG normalization remains inadequately ...
Yi‐qing Yang, Rui Zhang, Haiyan Ma, Lu Yang, Xuefeng Qu, Qiqi Chen, Yan Zhang   +6 more
wiley   +1 more source

Controllability of Bilinear Systems: Lie Theory Approach and Control Sets on Projective Spaces

Mathematics
Bilinear systems can be developed from the point of view of time-varying linear differential equations or from the symmetry of Lie theory, in particular Lie algebras, Lie groups, and Lie semigroups. For bilinear control systems with bounded control range,
Oscar Raúl Condori Mamani, Bartolome Valero Larico, María Luisa Torreblanca, Wolfgang Kliemann   +3 more
doaj   +1 more source