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Differential geometry of \(C^\infty\) helices in Hilbert space

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Publication:1145397
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DOI10.1016/0022-247X(80)90087-6zbMath0445.58004WikidataQ115364599 ScholiaQ115364599MaRDI QIDQ1145397

Timo Ravaska

Publication date: 1980

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)


zbMATH Keywords

helixcurves with constant curvatures in a Hilbert spaceFrenet theory of curves


Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Infinite-dimensional manifolds (58B99) Curves in Euclidean and related spaces (53A04)


Related Items (2)

On helical and Delta-helical surfaces in Hilbert space ⋮ Continuation of Hermitian positive definite functions and related questions



Cites Work

  • Seminaire de probabilites IX. Universite de Strasbourg. Edited by P. A. Meyer
  • Differentialgeometrie ohne Dimensionsaxiom. II. Riemannsche Geometrie in lokal-linearen Räumen
  • On Helixes in Hilbert Space. I
  • Fourier Integrals and Metric Geometry
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