Results 61 to 70 of about 214,301 (272)

Generic non-uniqueness of minimizing harmonic maps from a ball to a sphere

Comptes Rendus. Mathématique
In this note, we study non-uniqueness for minimizing harmonic maps from $B^3$ to $§^2$. We show that every boundary map can be modified to a boundary map that admits multiple minimizers of the Dirichlet energy by a small $W^{1,p}$-change for ...
Detaille, Antoine, Mazowiecka, Katarzyna
doaj   +1 more source

Harmonic Maps and Stability on f-Kenmotsu Manifolds

International Journal of Mathematics and Mathematical Sciences, 2008
The purpose of this paper is to study some submanifolds and Riemannian submersions on an f-Kenmotsu manifold. The stability of a ϕ-holomorphic map from a compact f-Kenmotsu manifold to a Kählerian manifold is proven.
Vittorio Mangione
doaj   +1 more source

Classification of harmonic homomorphisms between Riemannian three-dimensional unimodular Lie groups [PDF]

Arab Journal of Mathematical Sciences
Purpose – The purpose of this study is to classify harmonic homomorphisms ϕ : (G, g) → (H, h), where G, H are connected and simply connected three-dimensional unimodular Lie groups and g, h are left-invariant Riemannian metrics.
Zagane Abdelkader, Osamnia Nada, Kaddour Zegga   +2 more
doaj   +1 more source

Whole‐Body Pattern of Muscle Degeneration and Progression in Sarcoglycanopathies

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To characterize whole‐body intramuscular fat distribution pattern in patients with sarcoglycanopathies and explore correlations with disease severity, duration and age at onset. Methods Retrospective, cross‐sectional, multicentric study enrolling patients with variants in one of the four sarcoglycan genes who underwent whole‐body ...
Laura Costa‐Comellas, Mauro Monforte, Angel Sanchez‐Montañez, Penélope Romero‐Duque, Elena Pegoraro, Jordi Díaz‐Manera, Dmitry Vlodavets, Lorenzo Maggi, Marco Moscatelli, Adele D‘Amico, Montse Olivé, Jorge Alonso‐Pérez, Giacomo Comi, José Miguel Escudero‐Fernández, Gabriela S. Urcuyo, Anna Pichiecchio, Angela Berardinelli, Kristl G. Claeys, Claudio Bruno, Chiara Panicucci, Sara Bortolani, Eleonora Torchia, Enzo Ricci, Soledad Monges, Jorge A. Bevilacqua, Jorge Diaz‐Jara, Maggie C. Walter, Simone Thiele, Nicoline Løkken, John Vissing, Susana Quijano‐Roy, Robert Y. Carlier, Nicol C. Voermans, Chiara Marini‐Bettolo, Michela Guglieri, Volker Straub, Lea Leonardis, Francina Munell, David Gómez‐Andrés, Giorgio Tasca   +39 more
wiley   +1 more source

Infinite energy harmonic maps from quasi-compact Kähler surfaces

Advanced Nonlinear Studies
We construct infinite energy harmonic maps from a quasi-compact Kähler surface with a Poincaré-type metric into an NPC space. This is the first step in the construction of pluriharmonic maps from quasiprojective varieties into symmetric spaces of non ...
Daskalopoulos Georgios, Mese Chikako
doaj   +1 more source

Unraveling the Molecular Mechanisms of Glioma Recurrence: A Study Integrating Single‐Cell and Spatial Transcriptomics

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Glioma recurrence severely impacts patient prognosis, with current treatments showing limited efficacy. Traditional methods struggle to analyze recurrence mechanisms due to challenges in assessing tumor heterogeneity, spatial dynamics, and gene networks.
Lei Qiu, Yinjiao Fei, Jiaxuan Ding, Kexin Shi, Jinyan Luo, Yuchen Zhu, Xingjian Sun, Gefei Jiang, Yuandong Cao, Weilin Xu, Shu Zhou   +10 more
wiley   +1 more source

Clustering Algorithm Reveals Dopamine‐Motor Mismatch in Cognitively Preserved Parkinson's Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To explore the relationship between dopaminergic denervation and motor impairment in two de novo Parkinson's disease (PD) cohorts. Methods n = 249 PD patients from Parkinson's Progression Markers Initiative (PPMI) and n = 84 from an external clinical cohort.
Rachele Malito, Chiara Meneghini, Alice Galli, Luca Gallo, Pierfrancesco Mitrotti, Paola Dimartino, Marianna Inglese, Cinzia Zatti, Alessandro Lupini, Andrea Pilotto, Alessandro Padovani, Micol Avenali, Enza Maria Valente, Cristina Tassorelli, Silvia P. Caminiti   +14 more
wiley   +1 more source

Harmonic maps of finite uniton type into non-compact inner symmetric spaces

, 2015
Due to the efforts of many mathematicians, there has been a classification of harmonic two-spheres into compact (semi-simple) Lie groups as well as compact inner symmetric spaces.
Dorfmeister, Josef F., Wang, Peng
core  

Value of MRI Outcomes for Preventive and Early‐Stage Trials in Spinocerebellar Ataxias 1 and 3

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To examine the value of MRI outcomes as endpoints for preventive and early‐stage trials of two polyglutamine spinocerebellar ataxias (SCAs). Methods A cohort of 100 participants (23 SCA1, 63 SCA3, median Scale for the Assessment and Rating of Ataxia (SARA) score = 5, 42% preataxic, and 14 gene‐negative controls) was scanned at 3T up ...
Thiago J. R. Rezende, Emilien Petit, Young Woo Park, Sophie Tezenas du Montcel, James M. Joers, Jonathan M. DuBois, H. Moore Arnold, Michal Povazan, Ipek Özdemir, Guita Banan, Romain Valabregue, Philipp Ehses, Jennifer Faber, Chiadi U. Onyike, Peter B. Barker, Jeremy D. Schmahmann, Eva‐Maria Ratai, Sub H. Subramony, Thomas H. Mareci, Khalaf O. Bushara, Henry Paulson, Thomas Klockgether, Alexandra Durr, Tetsuo Ashizawa, Christophe Lenglet, Gülin Öz, READISCA Investigators   +26 more
wiley   +1 more source

Minimizing pseudo-harmonic maps in manifolds

Electronic Journal of Differential Equations, 2001
In this work, we show some regularity and uniqueness results for generalized harmonic maps on target manifolds which are graphs of real-valued functions defined on ellipsoids.
Yuxin Ge
doaj