Multilinear Evolution Equations for Time-Harmonic Flows

Abstract

It is shown that time-harmonic hypersurface motions in various, conformally flat, N-dimensional manifolds admit a multilinear description, dL/dt={ L, M_1, ... , M_{N-2} }, automatically generating infinitely many conserved quantities, as well as leading to new (integrable) matrix equations. Interestingly, the conformal factor can be changed without changing L.

arXiv comment9 pages LATEX

References in corpus (2)

• On M-Algebras, the Quantisation of Nambu-Mechanics, and Volume Preserving Diffeomorphisms
• Higher-Dimensional Integrable Systems from Multilinear Evolution Equations