Lax pair tensors in arbitrary dimensions
solv-int
2009-10-31 v3 广义相对论与量子宇宙学
可精确求解与可积系统
摘要
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.
引用
@article{arxiv.solv-int/9810011,
title = {Lax pair tensors in arbitrary dimensions},
author = {Martin Goliath and Max Karlovini and Kjell Rosquist},
journal= {arXiv preprint arXiv:solv-int/9810011},
year = {2009}
}
备注
8 pages, uses IOP style files. Minor correction. Submitted to J. Phys A