Lowest degree invariant second-order PDEs over rational homogeneous contact manifolds

DOI10.1142/S0219199717500894zbMath1407.35007arXiv1606.02633OpenAlexW3100025314WikidataQ114072667 ScholiaQ114072667MaRDI QIDQ4622586

Giovanni Moreno, Gianni Manno, Jan Gutt, Dimitrii V. Alekseevsky

Publication date: 13 February 2019

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.02633

zbMATH Keywords

simple Lie algebrasinvariant theoryLagrangian Grassmanniansymmetries of PDEsadjoint variety

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Differential geometry of homogeneous manifolds (53C30) Invariance and symmetry properties for PDEs on manifolds (58J70) Contact manifolds (general theory) (53D10) Geometric theory, characteristics, transformations in context of PDEs (35A30) Symmetries, invariants, etc. in context of PDEs (35B06) Coadjoint orbits; nilpotent varieties (17B08)

Related Items (4)

A general method to construct invariant PDEs on homogeneous manifolds ⋮ The moment map on the space of symplectic 3D Monge-Ampère equations ⋮ Contact manifolds, Lagrangian Grassmannians and PDEs ⋮ Complex contact manifolds, varieties of minimal rational tangents, and exterior differential systems

Uses Software

• MathOverflow

Cites Work

• Contact geometry of multidimensional Monge-Ampère equations: characteristics, intermediate integrals and solutions
• Finite-dimensionality in Tanaka theory
• Young-diagrammatic methods for the representation theory of the classical groups of type \(B_ n\), \(C_ n\), \(D_ n\)
• Combinatorics and intersections of Schubert varieties
• Exceptionally simple PDE
• Freudenthal triple systems by root system methods
• Lie algebra cohomology and the generalized Borel-Weil theorem
• On differential systems, graded Lie algebras and pseudo-groups
• Contact homogeneous spaces
• Algebraic Legendrian varieties
• Conformal geometry of surfaces in the Lagrangian Grassmannian and second-order PDE
• Symmetry, Representations, and Invariants
• Towards a Schubert calculus for complex reflection groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Lowest degree invariant second-order PDEs over rational homogeneous contact manifolds