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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Άλλοι συγγραφείς: Eastwood, Michael (Επιμελητής έκδοσης), Miller, Willard (Επιμελητής έκδοσης)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: New York, NY : Springer New York, 2008.
Σειρά:The IMA Volumes in Mathematics and its Applications, 144
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • 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.