Results 41 to 50 of about 12,537 (310)

Advancing Age Modulates Associations Between Cognitive Impairment and Brain Volumes in Early MS

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Introduction Cognitive impairment is common in multiple sclerosis (MS), but manifestations following the first demyelinating event are relatively unexplored. We investigated cross‐sectional associations between magnetic resonance imaging (MRI)–derived brain volumes and the presence of cognitive impairment outcomes five years after the first ...
Piriyankan Ananthavarathan, Marco Pitteri, Michael Foster, Sara Collorone, Sara Salama, Elisa Colato, Ferran Prados, Baris Kanber, Marios Yiannakas, Claudia A. M. Gandini Wheeler‐Kingshott, Indran Davagnanam, Frederik Barkhof, Declan Chard, Olga Ciccarelli, Ahmed Toosy   +14 more
wiley   +1 more source

GEODESIC COMPLETENESS FOR SOBOLEV METRICS ON THE SPACE OF IMMERSED PLANE CURVES

Forum of Mathematics, Sigma, 2014
We study properties of Sobolev-type metrics on the space of immersed plane curves. We show that the geodesic equation for Sobolev-type metrics with constant coefficients of order 2 and higher is globally well-posed for smooth initial data as well as for ...
MARTINS BRUVERIS, PETER W. MICHOR, DAVID MUMFORD   +2 more
doaj   +1 more source

Geodesically equivalent metrics on homogenous spaces [PDF]

Czechoslovak Mathematical Journal, 2018
Two metrics on a manifold are geodesically equivalent if sets of their unparameterized geodesics coincide. In this paper we show that if two left $G$-invariant metrics of arbitrary signature on homogenous space $G/H$ are geodesically equivalent, they are affinely equivalent, i.e. they have the same Levi-Civita connection.
Bokan, Neda, Šukilović, Tijana, Vukmirović, Srdjan   +2 more
openaire   +3 more sources

Nickel‐Free Synthesis of Poly(pyrene‐4,5,9,10‐tetraone) for Sodium‐based Batteries: Insights into Electrode Architecture and Reversible Na‐ion Insertion

Advanced Energy Materials, EarlyView.
A nickel‐free and practical synthesis strategy to poly(pyrene tetraone) and its integration with a percolated CNTs/Ketjen Black network enables stable cycling and efficient energy storage in a sodium‐based batteries. This work demonstrates how controlling polymer structure and electrode architecture improves ion transport and mitigates dissolution in ...
Md. Adil, Robin Wessling, Nico Kokott, Elena Mena‐Osteritz, Benedikt Prifling, Markus Osenberg, Thomas Diemant, Volker Schmidt, Ingo Manke, Birgit Esser   +9 more
wiley   +1 more source

Geodesics in the space of Kähler metrics [PDF]

Duke Mathematical Journal, 2013
Let (X,ω) be a compact Kähler manifold. As discovered in the late 1980s by Mabuchi, the set H_0 of Kähler forms cohomologous to ωhas the natural structure of an infinite dimensional Riemannian manifold. We address the question whether any two points in H_0 can be connected by a smooth geodesic, and show that the answer, in general, is "no".
Lempert, László, Vivas, Liz
openaire   +3 more sources

Wine Tourism as a Catalyst for Sustainable Performance: The Mediating Role of Corporate Legitimacy and Green Innovation

Agribusiness, EarlyView.
ABSTRACT This study aims to explore the influence of Wine Tourism (WT) on the Sustainable Performance (SP) of wineries in Spain. It particularly investigates how Corporate Social Legitimacy (CSL) and Green Innovation (GI) may act as intermediary factors in this relationship.
Javier Martínez‐Falcó, Eduardo Sánchez‐García, Bartolomé Marco‐Lajara, Luis A. Millán‐Tudela   +3 more
wiley   +1 more source

The isometry group of outer space

, 2009
We prove analogues of Royden’s Theorem for the Lipschitz metrics of Outer Space, namely that Isom(CVn) = Out(Fn)
Francaviglia, Stefano, A. Martino, Francavigila, Stefano, Martino, Armando   +3 more
core   +1 more source

Gravitational wave of the Bianchi VII universe: particle trajectories, geodesic deviation and tidal accelerations

European Physical Journal C: Particles and Fields, 2022
For the gravitational wave model based on the type III Shapovalov wave space-time, test particle trajectories and the exact solution of geodesic deviation equations for the Bianchi type VII universe are obtained. Based on the found 4-vector of deviation,
Konstantin Osetrin, Evgeny Osetrin, Elena Osetrina   +2 more
doaj   +1 more source

The Space of Closed Geodesics on a Surface

Interdisciplinary Information Sciences, 2003
Let \(F\) be a closed, orientable surface of genus \(g\), endowed with a metric of constant curvature and denote by \({\mathcal G}_g\) the set of closed geodesics on \(F\). Closed geodesics are considered as images of periodic maps from \(\mathbb{R}\) into \(F\).
openaire   +3 more sources

Riemannian M-spaces with homogeneous geodesics [PDF]

Annals of Global Analysis and Geometry, 2018
We investigate homogeneous geodesics in a class of homogeneous spaces called $M$-spaces, which are defined as follows. Let $G/K$ be a generalized flag manifold with $K=C(S)=S\times K_1$, where $S$ is a torus in a compact simple Lie group $G$ and $K_1$ is the semisimple part of $K$.
Arvanitoyeorgos, Andreas, Wang, Yu, Zhao, Guosong   +2 more
openaire   +2 more sources