A global theory of flexes of periodic functions

DOI10.1017/S0027763000008734zbMath1066.51007arXivmath/0106088OpenAlexW1912447356MaRDI QIDQ4825402

Gudlaugur Thorbergsson, Masaaki Umehara

Publication date: 28 October 2004

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0106088

zbMATH Keywords

periodic functionsChebyshev spacesextactic points4-vertex theoremflexcontraction lemmaintrinsic systems

Mathematics Subject Classification ID

Affine differential geometry (53A15) Trigonometric polynomials, inequalities, extremal problems (42A05) (n)-vertex theorems via direct methods (51L15) Geometric orders, order geometry (53C75)

Related Items (5)

Extrinsically flat Möbius strips on given knots in 3-dimensional spaceforms ⋮ A refinement of Foreman's four-vertex theorem and its dual version ⋮ Inflection points and double tangents on anti-convex curves in the real projective plane ⋮ A simplification of the proof of Bol's conjecture on sextactic points ⋮ Sextactic points on a simple closed curve

Cites Work

• Unnamed Item
• Über die Mindestanzahl stationärer Schmiegebenen bei geschlossenen strengkonvexen Raumkurven
• On the number of circles of curvature perfectly enclosing or perfectly enclosed by a closed convex oval
• Sturm theory, Ghys theorem on zeroes of the Schwarzian derivative and flattening of Legendrian curves
• Sextactic points on a simple closed curve
• Vertices of plane curves

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