Symmetries and overdetermined systems of partial differential equations

Table of Contents

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   Book Overview
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   Chapter 1 Overdetermined Systems, Conformal Differential Geometry, and the BGG Complex
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   Chapter 2 Generalized Wilczynski Invariants for Non-Linear Ordinary Differential Equations
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   Chapter 3 Notes on Projective Differential Geometry
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   Chapter 4 Ambient Metric Construction of CR Invariant Differential Operators
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   Chapter 5 Fine Structure for Second Order Superintegrable Systems
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   Chapter 6 Differential Geometry of Submanifolds of Projective Space
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   Chapter 7 Pseudo-Groups, Moving Frames, and Differential Invariants
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   Chapter 8 Geometry of Linear Differential Systems Towards Contact Geometry of Second Order
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    Chapter 9 On Geometric Properties of Joint Invariants of Killing Tensors
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    Chapter 10 Hamiltonian Curve Flows in lie Groups G ⊂ U(N) and Vector Nls, mKdV, Sine-Gordon Soliton Equations
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    Chapter 11 Conformal Killing Spinors and the Holonomy Problem in Lorentzian Geometry — A Survey of New Results —
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    Chapter 12 Projective-Type Differential Invariants for Curves and Their Associated Pdes of Kdv Type
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    Chapter 13 Algebraic Construction of the Quadratic First Integrals for a Special Class of Orthogonal Separable Systems
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    Chapter 14 Geometry of Non-Regular Separation
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    Chapter 15 Higher Symmetries of the Square of the Laplacian
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    Chapter 16 Metric Connections in Projective Differential Geometry
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    Chapter 17 Exterior Differential Systems with Symmetry
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    Chapter 18 Partially Invariant Solutions to Ideal Magnetohydrodynamics
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    Chapter 19 Invariant Prolongation and Detour Complexes
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    Chapter 20 Inhomogeneous Ambient Metrics
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    Chapter 21 Pfaffian Systems Of Frobenius Type And Solvability Of Generic Overdetermined Pde Systems
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    Chapter 22 Exact And Quasi — Exact Solvability of Second Order Superintegrable Quantum Systems
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    Chapter 23 A Remark On Unitary Conformal Holonomy
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    Chapter 24 Polynomial Associative Algebras for Quantum Superintegrable Systems with a Third Order Integral of Motion
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    Chapter 25 Separation of Variables for Systems of First-Order Partial Differential Equations and the Dirac Equation in Two-Dimensional Manifolds
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    Chapter 26 Differential Systems Associated with Tableaux over Lie Algebras
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    Chapter 27 Conformal Structures with Explicit Ambient Metrics and Conformal G 2 Holonomy
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    Chapter 28 Deformations of Quadratic Algebras, the Joseph Ideal for Classical Lie Algebras, and Special Tensors
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    Chapter 29 Analogues of the Dolbeault Complex and the Separation of Variables