dorsal/arxiv
View SchemaLax pair tensors in arbitrary dimensions
| Authors | Martin Goliath, Max Karlovini, Kjell Rosquist |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9810011 |
| URL | https://arxiv.org/abs/solv-int/9810011 |
| DOI | 10.1088/0305-4470/32/18/311 |
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.
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"abstract": "A recipe is presented for obtaining Lax tensors for any n-dimensional\nHamiltonian system admitting a Lax representation of dimension n. Our approach\nis to use the Jacobi geometry and coupling-constant metamorphosis to obtain a\ngeometric Lax formulation. We also exploit the results to construct integrable\nspacetimes, satisfying the weak energy condition.",
"arxiv_id": "solv-int/9810011",
"authors": [
"Martin Goliath",
"Max Karlovini",
"Kjell Rosquist"
],
"categories": [
"solv-int",
"gr-qc",
"nlin.SI"
],
"doi": "10.1088/0305-4470/32/18/311",
"title": "Lax pair tensors in arbitrary dimensions",
"url": "https://arxiv.org/abs/solv-int/9810011"
},
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