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Approximations of periodic functions to \(\mathbb R ^n\) by curvatures of closed curves

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Publication:387570
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DOI10.1007/s10711-012-9812-3zbMath1283.53006arXiv1205.5892OpenAlexW2593959940MaRDI QIDQ387570

Rustam Sadykov, Jacob Mostovoy

Publication date: 23 December 2013

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.5892


zbMATH Keywords

Frenet framecurvatures\(h\)-principle


Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Curves in Euclidean and related spaces (53A04)




Cites Work

  • Curves with constant curvature ratios
  • Hadamard foliations of \(\mathbb H^n\)
  • \(h\)-principles for curves and knots of constant curvature
  • On the number of connected components in the space of closed nondegenerate curves on 𝑆_{𝑛}
  • Partial Differential Relations
  • The converse of the four vertex theorem
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