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Un-reduction in field theory
| File | Description | Size | Format | |
|---|---|---|---|---|
 1509.06919v1.pdf | Working paper | 461.18 kB | Adobe PDF | View/Open |
| 10.1007%2Fs11005-017-1000-9.pdf | Published version | 527.91 kB | Adobe PDF | View/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: | Applied Mathematics and Mathematical Physics Faculty of Natural Sciences Mathematics |