Lax pair tensors in arbitrary dimensions

Abstract

A recipe is presented for obtaining Lax tensors for any n-dimensional Hamiltonian system admitting a Lax representation of dimension n. Our approach is to use the Jacobi geometry and coupling-constant metamorphosis to obtain a geometric Lax formulation. We also exploit the results to construct integrable spacetimes, satisfying the weak energy condition.

8 pages, uses IOP style files. Minor correction. Submitted to J. Phys A

References in corpus (1)

• Lax pair tensors and integrable spacetimes

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