On Polar Duality, Lagrange and Legendre Singularities and Stereographic Projection to Quadrics (Q4444950)

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scientific article; zbMATH DE number 2034316
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On Polar Duality, Lagrange and Legendre Singularities and Stereographic Projection to Quadrics
scientific article; zbMATH DE number 2034316

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    On Polar Duality, Lagrange and Legendre Singularities and Stereographic Projection to Quadrics (English)
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    28 January 2004
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    projective differential geometry
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    Euclidean differential geometry
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    stereographic projection
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    quasi-revolution quadrics
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    Sedykh's theorem
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    vertex of a curve
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    convex curve
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    flattening of a curve
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    polar duality map
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    symplectic singularities
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    Lagrangian map
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    normal map
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    Lagrangian equivalence
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    contact singularities
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    spherized cotangent bundle
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    Legendrian fibration
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    Legendrian map
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    tangential map
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    Legendrian equivalence
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    polar dual front
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    evolute
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    varieties of singularities
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    inversion
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    standard folded umbrella
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    Legendre lifting
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    umbilic points of surfaces
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