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Remarks on the parabolic curves on surfaces and on the higher-dimensional Möbius-Sturm theory

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Publication:1272008
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DOI10.1007/BF02466055zbMath0973.53504MaRDI QIDQ1272008

Vladimir I. Arnold

Publication date: 27 January 2000

Published in: Functional Analysis and its Applications (Search for Journal in Brave)


zbMATH Keywords

deformationinflection pointreal projective spaceclosed curveparabolic curve


Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Curves in Euclidean and related spaces (53A04) Projective differential geometry (53A20) Critical points of functions and mappings on manifolds (58K05)


Related Items

Transversal special parabolic points in the graph of a polynomial obtained under Viro's patchworking, On the affine geometry of the graph of a real polynomial, On the geometric structure of certain real algebraic surfaces, Some aspects of the geometry of real algebraic surfaces, On some combinatorial formulae coming from Hessian topology, On Projective Umbilics: a Geometric Invariant and an Index, On the realization problem of real algebraic plane curves as Hessian curves, On the complex and real Hessian polynomials



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