Geometrization of the Lax pair tensors
MODERN PHYSICS LETTERS A, vol.15, no.24, pp.1503-1510, 2000 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 15 Issue: 24
- Publication Date: 2000
- Doi Number: 10.1142/s0217732300001924
- Journal Name: MODERN PHYSICS LETTERS A
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.1503-1510
- Open Archive Collection: AVESIS Open Access Collection
- Middle East Technical University Affiliated: No
Abstract
The tensorial form of the Lax pair equations are given in a compact and geometrically transparent form in the presence of Cartan's torsion tensor. Three-dimensional space-times admitting Lax tensors are analyzed in detail. Solutions to Lax tensor equations include interesting examples as separable coordinates and the Toda lattice.