Drapeau theorem for differential systems

DOI10.1016/j.difgeo.2009.03.017zbMath1182.58003OpenAlexW2021827427WikidataQ115357243 ScholiaQ115357243MaRDI QIDQ1038528

Keizo Yamaguchi, Kazuhiro Shibuya

Publication date: 18 November 2009

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2115/39954

zbMATH Keywords

Goursat flagdifferential system\(m\)-flag of length \(k\)rank 1 prolongation

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Jets in global analysis (58A20) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Exterior differential systems (Cartan theory) (58A15) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items (13)

Orbital feedback linearization for multi‐input control systems ⋮ The geometry, controllability, and flatness property of then-bar system ⋮ Global stability of special multi-flags ⋮ A Semple-type approach to a problem of Goursat: the multi-flag case ⋮ Spatial curve singularities and the monster/semple tower ⋮ Singularity classes of special multi-flags, I ⋮ Symmetries of special 2-flags ⋮ Type-changing PDE and singularities of Monge characteristic systems ⋮ Configuration space of some mechanical system and towers of bundles associated to a special multi-flag ⋮ A monster tower approach to Goursat multi-flags ⋮ Multi-input control-affine systems static feedback equivalent to a triangular form and their flatness ⋮ Rank two prolongations of second-order PDE and geometric singular solutions ⋮ Bridges between subriemannian geometry and algebraic geometry: now and then

Cites Work

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• Geometrization of jet bundles
• A SET OF INTEGRAL ELEMENTS OF HIGHER ORDER JET SPACES
• Multi-flag systems and ordinary differential equations
• Geometric approach to Goursat flags
• Contact systems and corank one involutive subdistributions

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