Hyperbolic complex numbers and nonlinear sigma models
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Publication:1102599
DOI10.1007/BF00670818zbMath0644.58027MaRDI QIDQ1102599
Publication date: 1987
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of global analysis to the sciences (58Z05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Constructive quantum field theory (81T08)
Related Items (4)
Björling problem for timelike surfaces in the Lorentz-Minkowski space ⋮ Spinors in the hyperbolic algebra ⋮ Gravitoelectromagnetism in a complex Clifford algebra ⋮ Considerations on the hyperbolic complex Klein–Gordon equation
Cites Work
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- Bäcklund transformations for nonlinear sigma models with values in Riemannian symmetric spaces
- The soliton correlation matrix and the reduction problem for integrable systems
- Bäcklund transformations and soliton-type solutions for sigma models with values in real Grassmannian spaces
- Classical solutions of higher-dimensional nonlinear sigma models on spheres
- Classical solutions of two-dimensional Grassmannian models
- Local theory of solutions for the \(0(2k+1)\sigma\)-model
- Higher local conservation laws for nonlinear sigma models on symmetric spaces
- Integrable Hamiltonian systems and interactions through quadratic constraints
- On the hyperbolic complex linear symmetry groups and their local gauge transformation actions
- On the local GL(4, R) gauge symmetry of hyperbolic complex metrics
- Comment on a paper by Z-Z. Zhong [J. Math. Phys. 2 6, 404 (1985)]
- Algebras with three anticommuting elements. II. Two algebras over a singular field
- Geometrical interpretation of a generalized theory of gravitation
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