Contact Geometry of Second Order I

DOI10.1007/978-3-642-00873-3_16zbMath1187.58003OpenAlexW1577907419MaRDI QIDQ3401703

Keizo Yamaguchi

Publication date: 1 February 2010

Published in: Differential Equations - Geometry, Symmetries and Integrability (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2115/70235

zbMATH Keywords

contact manifoldparabolic geometryfirst and second order jet spaces

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Exterior differential systems (Cartan theory) (58A15)

Related Items (8)

Generalized Lie-Bäcklund theorem for Lie class overdetermined systems ⋮ Contact geometry of third-order partial differential equations with two independent variables ⋮ Second order type-changing equations for a scalar function on a plane ⋮ Exceptionally simple PDE ⋮ Contact geometry of second order. II ⋮ Rank two prolongations of second-order PDE and geometric singular solutions ⋮ ON IMPLICIT SECOND-ORDER PDE OF A SCALAR FUNCTION ON A PLANE VIA DIFFERENTIAL SYSTEMS ⋮ Transformations of Darboux Integrable Systems

Cites Work

• On involutive systems of second order of codimension 2
• On differential invariants of integrable finite type linear differential equations
• On the equivalence problems associated with simple graded Lie algebras
• Characterization of Hermitian symmetric spaces by fundamental forms
• Geometrization of jet bundles
• Lie algebra cohomology and the generalized Borel-Weil theorem
• On generalized graded Lie algebras and geometric structures. I
• On differential systems, graded Lie algebras and pseudo-groups
• Introduction to Lie Algebras and Representation Theory
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