Inflection points and double tangents on anti-convex curves in the real projective plane
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Publication:940726
DOI10.2748/tmj/1215442870zbMath1152.53009arXivmath/0607225OpenAlexW1970677081MaRDI QIDQ940726
Gudlaugur Thorbergsson, Masaaki Umehara
Publication date: 1 September 2008
Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0607225
Related Items (5)
Closed planar curves without inflections ⋮ A simplification of the proof of Bol's conjecture on sextactic points ⋮ Tangent lines, inflections, and vertices of closed curves ⋮ Extrinsic diameter of immersed flat tori in \(S^3\) ⋮ The duality between singular points and inflection points on wave fronts
Cites Work
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- The minimum number of points of inflexion of closed curves in the projective plane
- Vierscheitelsatz auf Flächen nichtpositiver Krümmung
- Extended minimum-number theorems of cyclic and sextactic points on a plane convex oval
- On the number of circles of curvature perfectly enclosing or perfectly enclosed by a closed convex oval
- Duality of real projective plane curves: Klein's equation
- Theorem on six vertices of a plane curve via the Sturm theory
- On Halpern's Conjecture for Closed Plane Curves
- Sextactic points on a simple closed curve
- A global theory of flexes of periodic functions
- The geometry of spherical curves and the algebra of quaternions
- On the Double Tangents of Plane Closed Curves.
- Verallgemeinerung eines Satzes von R.C. Bose über die Anzahl der Schmiegkreise eines Ovals, die vom Oval umschlossen werden oder das Oval umschließen.
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