The theory of curves in differential geometry from the viewpoint of the theory of functions of a real variable

DOI10.1070/RM2005v060n06ABEH004286zbMath1143.53005WikidataQ115323646 ScholiaQ115323646MaRDI QIDQ5460505

Yu. G. Reshetnyak

Publication date: 28 April 2008

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

zbMATH Keywords

tangent indicatrixintegral curvaturebroken lineturnintegral torsioncurve in the sense of Fréchet

Mathematics Subject Classification ID

Integral geometry (53C65) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Curves in Euclidean and related spaces (53A04) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Functions of one variable (26A99)

Related Items (2)

The total intrinsic curvature of curves in Riemannian surfaces ⋮ Weak curvatures of irregular curves in high-dimensional Euclidean spaces

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