Geometrization of the Lax Pair Tensors
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Date
2000
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
World Scientific Publ Co Pte Ltd
Open Access Color
BRONZE
Green Open Access
Yes
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
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.
Description
Baskal, Sibel/0000-0002-3795-7565
ORCID
Keywords
Killing-Yano tensors, Nonlinear Sciences - Exactly Solvable and Integrable Systems, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Mathematical Physics (math-ph), General Relativity and Quantum Cosmology, supersymmetry, Lax pair equations, Exactly Solvable and Integrable Systems (nlin.SI), Geometrodynamics and the holographic principle, Toda lattice, Mathematical Physics, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry
Fields of Science
01 natural sciences, 0103 physical sciences
Citation
Baleanu, D; Baskal, S, "Geometrization of the Lax pair tensors", Modern Physics Letters A, Vol. 15, No. 24, pp. 1503-1510, (2000).
WoS Q
Q2
Scopus Q
Q3

OpenCitations Citation Count
7
Source
Modern Physics Letters A
Volume
15
Issue
24
Start Page
1503
End Page
1510
PlumX Metrics
Citations
CrossRef : 7
Scopus : 6
Captures
Mendeley Readers : 5
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