FoCM 2014 conference
Workshop B7 - Symbolic Analysis
December 15, 15:30 ~ 15:55 - Room A11
Symmetry classification of curvature evolutions
Peter H van der Kamp
La Trobe University, Australia - peterhvanderkamp@gmail.com
Starting from an action of a Lie-group on a manifold the Fels-Olver moving frame method provides a set of generating invariants together with their syzygies. One of the syzygies gives us the evolution of curvature invariants if the evolution of a curve is specified. Another syzygy gives us an invariant symmetry condition which we utilise to identify integrable curvature evolutions.
Joint work with Evelyne Hubert (INRIA Méditerranée, Sophia Antipolis, France).