Total torsion of curves in three-dimensional manifolds
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Publication:960048
DOI10.1007/s10711-008-9277-6zbMath1153.53036OpenAlexW2154564801MaRDI QIDQ960048
Claudia C. Pansonato, Sueli I. R. Costa
Publication date: 16 December 2008
Published in: Geometriae Dedicata (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10711-008-9277-6
Global submanifolds (53C40) Surfaces in Euclidean and related spaces (53A05) Non-Euclidean differential geometry (53A35)
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Spatial \(C^2\) closed-loops of prescribed arc length defined by Pythagorean-hodograph curves ⋮ The curvature and torsion of curves in a surface ⋮ Total torsion of three-dimensional lines of curvature ⋮ Characterization of manifolds of constant curvature by spherical curves
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- Gauss-Bonnet's theorem and closed Frenet frames
- Nowhere vanishing torsion closed curves always hide twice
- The converse to the four vertex theorem
- The Four-or-More Vertex Theorem
- Total torsion of closed lines of curvature
- The converse of the four vertex theorem
- Sopra una caratterizzazione della sfera
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