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Curves on the shape sphere

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Publication:1430552
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DOI10.1007/BF03322987zbMath1058.53015MaRDI QIDQ1430552

Radostina P. Encheva, Georgi Hristov Georgiev

Publication date: 27 May 2004

Published in: Results in Mathematics (Search for Journal in Brave)


zbMATH Keywords

equivalence of spherical curvesSchirokow invariant


Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Differential invariants (local theory), geometric objects (53A55) Shapes (aspects of topological manifolds) (57N25)


Related Items (2)

On conformal curves in 2-dimensional de Sitter space ⋮ Similar and self-similar null Cartan curves in Minkowski-Lorentzian spaces



Cites Work

  • Triangles. I: Shapes
  • Triangles. II: Complex triangle coordinates
  • Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces
  • A remarkable periodic solution of the three-body problem in the case of equal masses
  • Eigenvalue equations in curve theory. I: Characterizations of conic sections
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