On algebraic-geometric methods for constructing submanifolds with flat normal bundle and holonomic net of curvature lines
DOI10.1134/S0016266320030028zbMath1465.37077OpenAlexW3133726748MaRDI QIDQ2662217
Publication date: 9 April 2021
Published in: Functional Analysis and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0016266320030028
orthogonal coordinatessubmanifold with flat normal bundlealgebraic-geometric datadiagonal metric with diagonal curvatureholonomic net of curvature lines
Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)
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Cites Work
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- On orthogonal curvilinear coordinate systems in constant curvature spaces
- Differential geometry of nonlocal Hamiltonian operators of hydrodynamic type
- Algebraic-geometric \(n\)-orthogonal curvilinear coordinate systems and solutions of the associativity equations
- Description of the \(n\)-orthogonal curvilinear coordinate systems and Hamiltonian integrable systems of hydrodynamic type. I: Integration of the Lamé equations
- Orthogonal curvilinear coordinate systems corresponding to singular spectral curves
- On one family of finite gap curvilinear orthogonal coordinates
- Lax pairs for equations describing compatible nonlocal Poisson brackets of hydrodynamic type and integrable reductions of the Lamé equations
- Compatible and almost compatible metrics
- Non-local Hamiltonian operators of hydrodynamic type related to metrics of constant curvature
- Pencils of compatible metrics and integrable systems
- Compatible and almost compatible pseudo-Riemannian metrics
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