Preface.- 1 Basic Notions of Calculus on Manifolds.- 2 Relations.- 3 Symplectic Relations on Symplectic Manifolds.- 4 Symplectic Relations on Cotangent Bundles.- 5 Canonical Lift on Cotangent Bundles.- 6 The Geometry of the Hamilton-Jacobi Equation.- 7 Hamiltonian Optics in Euclidean Spaces.- 8 Control of Static Systems.- 9 Supplementary Topics.- 10 Global Hamilton Principal Functions on S2 and H2.- References.- Index.
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Preface.- 1 Basic Notions of Calculus on Manifolds.- 2 Relations.- 3 Symplectic Relations on Symplectic Manifolds.- 4 Symplectic Relations on Cotangent Bundles.- 5 Canonical Lift on Cotangent Bundles.- 6 The Geometry of the Hamilton-Jacobi Equation.- 7 Hamiltonian Optics in Euclidean Spaces.- 8 Control of Static Systems.- 9 Supplementary Topics.- 10 Global Hamilton Principal Functions on S2 and H2.- References.- Index.
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