Zero-curvature subconformal structures and dispersionless integrability in dimension five
DOI10.1112/JLMS.70026MaRDI QIDQ6658756
Omid Makhmali, Boris Kruglikov
Publication date: 8 January 2025
Published in: Journal of the London Mathematical Society. Second Series (Search for Journal in Brave)
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Second-order nonlinear hyperbolic equations (35L70) Jets in global analysis (58A20) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Twistor theory, double fibrations (complex-analytic aspects) (32L25) Twistor methods in differential geometry (53C28) PDEs in connection with relativity and gravitational theory (35Q75) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Geometric theory, characteristics, transformations in context of PDEs (35A30) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Reduction of \(\beta\)-integrable 2-Segre structures
- The gap phenomenon in parabolic geometries
- Differential invariants of self-dual conformal structures
- Nonlocal trends in the geometry of differential equations: Symmetries, conservation laws, and Bäcklund transformations
- Geometry of jet spaces and integrable systems
- A geometry for multidimensional integrable systems
- Special symplectic connections
- On the integrability of symplectic Monge-Ampère equations
- Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
- Nonlinear gravitons and curved twistor theory
- Local biholomorphic straightening of real submanifolds
- Differential invariants of Einstein-Weyl structures in 3D
- Parabolic conformally symplectic structures. II: Parabolic contactification
- Lagrangean contact structures on projective cotangent bundles
- The Lagrangian of a self-dual gravitational field as a limit of the SDYM Lagrangian.
- Homogeneous surfaces in the three-dimensional projective geometry
- The Cayley cubic and differential equations
- On equivalence problem for 2-nondegenerate CR geometries with simple models
- Interactions between para-quaternionic and Grassmannian geometry
- A simple construction of recursion operators for multidimensional dispersionless integrable systems
- Lie algebra cohomology and the generalized Borel-Weil theorem
- Integrable background geometries
- Selfdual 4-manifolds, projective surfaces, and the Dunajski-West construction
- Anti-self-dual conformal structures with null Killing vectors from projective structures
- Dispersionless integrable systems in 3D and Einstein-Weyl geometry
- Integrability via geometry: dispersionless differential equations in three and four dimensions
- On geometry of 2-nondegenerate CR structures of hypersurface type and flag structures on leaf spaces of Levi foliations
- Varieties of minimal rational tangents of codimension 1
- On the Einstein-Weyl and conformal self-duality equations
- Minitwistor spaces and Einstein-Weyl spaces
- Self-duality in four-dimensional Riemannian geometry
- On integrability in Grassmann geometries: integrable systems associated with fourfolds in Gr(3,5)
- Correspondence spaces and twistor spaces for parabolic geometries
- An infinite number of hidden variables in hyper-Kähler metrics
- Hydrodynamic reductions of multidimensional dispersionless PDEs: The test for integrability
- On an integrable multi-dimensionally consistent 2 n + 2 n -dimensional heavenly-type equation
- Integrable Systems in Four Dimensions Associated with Six-Folds in Gr(4, 6)
- Doubrov–Ferapontov general heavenly equation and the hyper-Kähler hierarchy
- Geometry of differential equations
- Overdetermined systems of linear partial differential equations
This page was built for publication: Zero-curvature subconformal structures and dispersionless integrability in dimension five
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6658756)
