Algebraic-geometric \(n\)-orthogonal curvilinear coordinate systems and solutions of the associativity equations
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Publication:1392312
DOI10.1007/BF02466001zbMath1004.37052arXivhep-th/9611158OpenAlexW2043128133MaRDI QIDQ1392312
Publication date: 11 October 1998
Published in: Functional Analysis and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9611158
Moduli problems for topological structures (58D29) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Riemann surfaces; Weierstrass points; gap sequences (14H55)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Two-dimensional algebraic-geometric operators with self-consistent potentials
- Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
- The τ‐function of the universal whitham hierarchy, matrix models and topological field theories