Towards the Legendre Sturm theory of space curves

DOI10.1007/BF02482593zbMath0973.53505MaRDI QIDQ1281507

Vladimir I. Arnold

Publication date: 18 May 1999

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

zbMATH Keywords

Morse theoryprojective spaceswallowtailclosed curveSturm theory

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 (1)

Perestroikas of vertex sets at umbilic points

Cites Work

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• Über die Mindestanzahl stationärer Schmiegebenen bei geschlossenen strengkonvexen Raumkurven
• Wave front evolution and equivariant Morse lemma
• Global bitangency properties of generic closed space curves

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