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Symmetries and Overdetermined Systems of Partial Differential Equations

Symmetries in various forms pervade mathematics and physics. Globally, there are the symmetries of a homogenous space induced by the action of a Lie group. Locally, there are the infinitesimal symmetries induced by differential operators, including not only those of first order but of higher order t...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Eastwood, Michael (Editor ), Miller, Willard (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2008.
Edición:1st ed. 2008.
Colección:The IMA Volumes in Mathematics and its Applications, 144
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Expository Articles
  • Overdetermined Systems, Conformal Differential Geometry, and the BGG Complex
  • Generalized Wilczynski Invariants for Non-Linear Ordinary Differential Equations
  • Notes on Projective Differential Geometry
  • Ambient Metric Construction of CR Invariant Differential Operators
  • Fine Structure for Second Order Superintegrable Systems
  • Differential Geometry of Submanifolds of Projective Space
  • Pseudo-Groups, Moving Frames, and Differential Invariants
  • Geometry of Linear Differential Systems Towards Contact Geometry of Second Order
  • Research Article
  • On Geometric Properties of Joint Invariants of Killing Tensors
  • Hamiltonian Curve Flows in lie Groups G ? U(N) and Vector Nls, mKdV, Sine-Gordon Soliton Equations
  • Conformal Killing Spinors and the Holonomy Problem in Lorentzian Geometry - A Survey of New Results -
  • Projective-Type Differential Invariants for Curves and Their Associated Pdes of Kdv Type
  • Algebraic Construction of the Quadratic First Integrals for a Special Class of Orthogonal Separable Systems
  • Geometry of Non-Regular Separation
  • Higher Symmetries of the Square of the Laplacian
  • Metric Connections in Projective Differential Geometry
  • Exterior Differential Systems with Symmetry
  • Partially Invariant Solutions to Ideal Magnetohydrodynamics
  • Invariant Prolongation and Detour Complexes
  • Inhomogeneous Ambient Metrics
  • Pfaffian Systems Of Frobenius Type And Solvability Of Generic Overdetermined Pde Systems
  • Exact And Quasi - Exact Solvability of Second Order Superintegrable Quantum Systems
  • A Remark On Unitary Conformal Holonomy
  • Polynomial Associative Algebras for Quantum Superintegrable Systems with a Third Order Integral of Motion
  • Separation of Variables for Systems of First-Order Partial Differential Equations and the Dirac Equation in Two-Dimensional Manifolds
  • Differential Systems Associated with Tableaux over Lie Algebras
  • Conformal Structures with Explicit Ambient Metrics and Conformal G 2 Holonomy
  • Deformations of Quadratic Algebras, the Joseph Ideal for Classical Lie Algebras, and Special Tensors
  • Analogues of the Dolbeault Complex and the Separation of Variables.