15
IRUS Total
 Title: Un-reduction in field theory Authors: Arnaudon, ALopez, MCHolm, D Item Type: Journal Article Abstract: The un-reduction procedure introduced previously in the context of Mechanics is extended to covariant Field Theory. The new covariant un-reduction procedure is applied to the problem of shape matching of images which depend on more than one independent variable (for instance, time and an additional labelling parameter). Other possibilities are also explored: non-linear $\sigma$-models and the hyperbolic flows of curves. Issue Date: 19-Sep-2017 Date of Acceptance: 8-Sep-2017 URI: http://hdl.handle.net/10044/1/33414 DOI: https://dx.doi.org/10.1007/s11005-017-1000-9 ISSN: 0377-9017 Publisher: Springer Verlag Start Page: 225 End Page: 247 Journal / Book Title: Letters in Mathematical Physics Volume: 108 Issue: 1 Copyright Statement: © The Author(s) 2017. This article is an open access publication Keywords: Science & TechnologyPhysical SciencesPhysics, MathematicalPhysicsLagrange-Poincare reductionClassical field theoryCurve matchingSigma modelsNONLINEAR SIGMA-MODELSPRINCIPAL BUNDLESSYMMETRIC-SPACESPLANE-CURVESMETRICSEQUATIONSmath.DGmath-phmath.MP01 Mathematical Sciences02 Physical SciencesMathematical Physics Notes: First version, comments welcome! Publication Status: Published Appears in Collections: MathematicsApplied Mathematics and Mathematical PhysicsFaculty of Natural Sciences