Multilinear Evolution Equations for Time-Harmonic Flows
Jens Hoppe
Abstract
It is shown that time-harmonic hypersurface motions in various, conformally flat, N-dimensional manifolds admit a multilinear description, dL/dt= L, M1, ... , MN-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.
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