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Un-reduction in field theory

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1509.06919v1.pdfWorking paper461.18 kBAdobe PDFView/Open
10.1007%2Fs11005-017-1000-9.pdfPublished version527.91 kBAdobe PDFView/Open
Title: Un-reduction in field theory
Authors: Arnaudon, A
Lopez, MC
Holm, 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 & Technology
Physical Sciences
Physics, Mathematical
Physics
Lagrange-Poincare reduction
Classical field theory
Curve matching
Sigma models
NONLINEAR SIGMA-MODELS
PRINCIPAL BUNDLES
SYMMETRIC-SPACES
PLANE-CURVES
METRICS
EQUATIONS
math.DG
math-ph
math.MP
01 Mathematical Sciences
02 Physical Sciences
Mathematical Physics
Notes: First version, comments welcome!
Publication Status: Published
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences