Symmetries and Overdetermined Systems of Partial Differential Equations

Editors:

ISBN: 978-0-387-73830-7 (Print) 978-0-387-73831-4 (Online)

Table of contents (29 chapters)

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  1. Front Matter

    Pages i-xv

  2. Expository Articles

    1. Front Matter

      Pages xvi-xvi

    2. No Access

      Book Chapter

      Pages 1-24

      Overdetermined Systems, Conformal Differential Geometry, and the BGG Complex

    3. No Access

      Book Chapter

      Pages 25-40

      Generalized Wilczynski Invariants for Non-Linear Ordinary Differential Equations

    4. No Access

      Book Chapter

      Pages 41-60

      Notes on Projective Differential Geometry

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      Book Chapter

      Pages 61-75

      Ambient Metric Construction of CR Invariant Differential Operators

    6. No Access

      Book Chapter

      Pages 77-103

      Fine Structure for Second Order Superintegrable Systems

    7. No Access

      Book Chapter

      Pages 105-125

      Differential Geometry of Submanifolds of Projective Space

    8. No Access

      Book Chapter

      Pages 127-149

      Pseudo-Groups, Moving Frames, and Differential Invariants

    9. No Access

      Book Chapter

      Pages 151-203

      Geometry of Linear Differential Systems Towards Contact Geometry of Second Order

  3. Research Article

    1. Front Matter

      Pages 204-204

    2. No Access

      Book Chapter

      Pages 205-221

      On Geometric Properties of Joint Invariants of Killing Tensors

    3. No Access

      Book Chapter

      Pages 223-250

      Hamiltonian Curve Flows in lie Groups GU(N) and Vector Nls, mKdV, Sine-Gordon Soliton Equations

    4. No Access

      Book Chapter

      Pages 251-264

      Conformal Killing Spinors and the Holonomy Problem in Lorentzian Geometry — A Survey of New Results —

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      Book Chapter

      Pages 265-275

      Projective-Type Differential Invariants for Curves and Their Associated Pdes of Kdv Type

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      Book Chapter

      Pages 277-304

      Algebraic Construction of the Quadratic First Integrals for a Special Class of Orthogonal Separable Systems

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      Book Chapter

      Pages 305-317

      Geometry of Non-Regular Separation

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      Book Chapter

      Pages 319-338

      Higher Symmetries of the Square of the Laplacian

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      Book Chapter

      Pages 339-350

      Metric Connections in Projective Differential Geometry

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      Book Chapter

      Pages 351-366

      Exterior Differential Systems with Symmetry

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      Book Chapter

      Pages 367-381

      Partially Invariant Solutions to Ideal Magnetohydrodynamics

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      Book Chapter

      Pages 383-401

      Invariant Prolongation and Detour Complexes

    13. No Access

      Book Chapter

      Pages 403-420

      Inhomogeneous Ambient Metrics

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