Un-reduction in field theory

作者：Arnaudon Alexis^*; Castrillon Lopez Marco; Holm Darryl D.

来源：Letters in Mathematical Physics, 2018, 108(1): 225-247.

DOI：10.1007/s11005-017-1000-9

• Lagrange-Poincare reduction
• Classical field theory
• Curve matching
• Sigma models

The un-reduction procedure introduced previously in the context of classical 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: nonlinear -models and the hyperbolic flows of curves.

• 出版日期2018-1