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A geometrical treatment of singular trajectories - MaRDI portal

A geometrical treatment of singular trajectories (Q1154168)

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scientific article; zbMATH DE number 3727260
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English
A geometrical treatment of singular trajectories
scientific article; zbMATH DE number 3727260

    Statements

    A geometrical treatment of singular trajectories (English)
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    1981
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    families of singular trajectories
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    limit tangent vectors defined at a common singularity
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    generalized tangent space
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    exponential map
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    phase space
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    geodesics
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    wedge-shaped set of geodesics
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    Christoffel symbols
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    structurally stable dynamical system
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    conjugate points along a maximal geodesic of finite lengths
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    analytic varieties
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    generalized Gauss-Bonnet formula on analytic and algebraic varieties
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    particles represented as Riemannian singularities which are structurally stable
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    geometrical field theories
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