A class of extremising sphere-valued maps with inherent maximal tori symmetries in \(\mathbf{SO}(n)\)
type: Item
instance of: scholarly article
title: A class of extremising sphere-valued maps with inherent maximal tori symmetries in \(\mathbf{SO}(n)\)
zbMATH Open document ID: 1384.49005
author: Stuart Day
author: Ali Taheri
published in: Boundary Value Problems
publication date: 2018-01-17T00:00:00Z
Mathematics Subject Classification ID: 49J10
Mathematics Subject Classification ID: 35J50
Mathematics Subject Classification ID: 35J57
zbMATH DE Number: 6826961
zbMATH Keywords: spherical whirls
zbMATH Keywords: symmetries
zbMATH Keywords: generalized sphere-valued harmonic maps
zbMATH Keywords: \(\mathbf{SO}(n)\)
zbMATH Keywords: maximal tori and conjugacy
zbMATH Keywords: second energy variations
MaRDI profile type: Publication
full work available at URL: s13661-017-0917-3
OpenAlex ID: W2778742089
Wikidata QID: Q59612548
cites work: Q4743352
cites work: Geodesics on \(\mathrm{SO}(n)\) and a class of spherically symmetric maps as solutions to a nonlinear generalised harmonic map problem
cites work: Spherical twists, stationary paths and harmonic maps from generalised annuli into spheres
cites work: Stability and local minimality of spherical harmonic twists \(u={\mathbf{Q}}(|x|) x|x|^{-1} \), positivity of second variations and conjugate points on \(\mathbf{SO}(n)\)
cites work: Sufficiency theorems for local minimizers of the multiple integrals of the calculus of variations
cites work: The approximation problem for Sobolev maps between two manifolds
cites work: Topology and Sobolev spaces
cites work: Q4210546
cites work: Topology of Sobolev mappings
cites work: Local minimizers and quasiconvexity -- the impact of topology
cites work: Q4349681
cites work: The minimality of the map \(\frac{x}{\| x \|}\) for weighted energy
cites work: Minimizing p-harmonic maps into spheres.
cites work: On the minimality of the \(p\)-harmonic map \(\frac{x}{|x|}:B^n\to S^{n-1}\)
cites work: Q3797914
cites work: Q4315112
cites work: Harmonic maps
cites work: Annular rearrangements, incompressible axi-symmetric whirls and \(L^1\)-local minimisers of the distortion energy
cites work: Spherical twists, \(\mathbf{SO}(n)\) and the lifting of their twist paths to \(\mathbf{Spin}(n)\) in low dimensions
cites work: Strong versus weak local minimizers for the perturbed Dirichlet functional
cites work: Function Spaces and Partial Differential Equations
cites work: A Report on Harmonic Maps
cites work: Another Report on Harmonic Maps
cites work: Stability and uniqueness properties of the equator map from a ball into an ellipsoid
DOI: 10.1186/S13661-017-0917-3
description: scientific article; zbMATH DE number 6826961