Results 71 to 80 of about 1,212,618 (337)

Symmetries of holomorphic geometric structures on tori

Complex Manifolds, 2016
We prove that any holomorphic locally homogeneous geometric structure on a complex torus of dimension two, modelled on a complex homogeneous surface, is translation invariant. We conjecture that this result is true in any dimension.
Dumitrescu Sorin, McKay Benjamin
doaj   +1 more source

Lesion Location and Functional Connections Reveal Cognitive Impairment Networks in Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Cognitive impairment, fatigue, and depression are common in multiple sclerosis (MS), potentially due to disruption of regional functional connectivity caused by white matter (WM) lesions. We explored whether WM lesions functionally connected to specific brain regions contribute to these MS‐related manifestations.
Alessandro Franceschini, Paolo Preziosa, Paola Valsasina, Damiano Mistri, Monica Margoni, Federica Esposito, Massimo Filippi, Maria A. Rocca   +7 more
wiley   +1 more source

Fiberwise homogeneous fibrations of the 3-dimensional space forms by geodesics

, 2015
A fibration of a Riemannian manifold is fiberwise homogeneous if there are isometries of the manifold onto itself, taking any given fiber to any other one, and preserving fibers.
Nuchi, Haggai
core   +1 more source

Moduli Spaces of Affine Homogeneous Spaces [PDF]

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2019
Apart from global topological problems an affine homogeneous space is locally described by its curvature, its torsion and a slightly less tangible object called its connection in a given base point. Using this description of the local geometry of an affine homogeneous space we construct an algebraic variety $\mathfrak{M}(\mathfrak{gl}\,V)$, which ...
openaire   +4 more sources

Impact of APOE ε4 Genotype Load on Cognitive Function and Lipid Metabolism in Patients With Cerebral Small Vessel Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Apolipoprotein ε4 (APOE ε4) is a potent genetic risk factor for Alzheimer's disease (AD). However, its role in cerebral small vessel disease (CSVD) remains unclear. Given the clinical and pathological similarities between CSVD and AD, this study aimed to investigate the associations of APOE ε4 gene dosage with cognitive function and
Tingru Jin, Haocheng Yang, Feng Liu, Sihao Lin, Junru Hu, Jian Wang, Yulan Gou   +6 more
wiley   +1 more source

Anti de Sitter Holography via Sekiguchi Decomposition

, 2016
In the present paper we start consideration of anti de Sitter holography in the general case of the (q+1)-dimensional anti de Sitter bulk with boundary q-dimensional Minkowski space-time.
C Fronsdal, E Angelopoulos, E Witten, H Nicolai, J Sekiguchi, M Flato, N Aizawa, P Breitenlohner, R Hotta, S Ferrara, SS Gubser, VK Dobrev, VK Dobrev, W Schmid   +13 more
core   +1 more source

Four-dimensional quasi-Einstein non-reductive homogeneous spaces are Einstein

Extracta Mathematicae
We investigate quasi-Einstein structures on four-dimensional non-reductive homogeneous spaces. We show that contrary to the Ricci solitons structures, quasi-Einstein structures display a strong rigidity in the sense that every such a structure is ...
Mohamed Tahar Kadaoui Abbassi, Khadija Boulagouaz   +1 more
doaj   +1 more source

Spinning particle interacting with electromagnetic and antisymmetric gauge fields in anti-de Sitter space

European Physical Journal C: Particles and Fields, 2019
Massless spinning particle model that interacts with electromagnetic and antisymmetric gauge fields in anti-de Sitter space-time is considered as a constrained Hamiltonian system.
D. V. Uvarov
doaj   +1 more source

The Relationship Between Inflammation and Central Nervous System in Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Aim Multiple sclerosis is an autoimmune demyelination disease that is seen especially in the young population and has a progressive course, causing motor, sensory, and cognitive deficits. In the literature, the pathogenesis of MS disease and the interconnection between the immune and central nervous system in the disease have not been fully ...
Gamze Ansen, Ali Behram Salar, Abdulkadir Ermis, Erkingul Birday, Lutfu Hanoglu, Bayram Ufuk Sakul   +5 more
wiley   +1 more source

Non-formal Homogeneous Spaces

, 2012
Several large classes of homogeneous spaces are known to be formal---in the sense of Rational Homotopy Theory. However, it seems that far fewer examples of non-formal homogeneous spaces are known.
Amann, Manuel
core   +1 more source