The total mixed curvature of open curves in \(E^3\)

DOI10.1007/s10711-017-0269-2zbMath1393.53005OpenAlexW2729901440MaRDI QIDQ1646632

Jin-ichi Itoh, Kazuyuki Enomoto

Publication date: 25 June 2018

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

Full work available at URL: https://doi.org/10.1007/s10711-017-0269-2

zbMATH Keywords

torsioncurvaturecurve

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Curves in Euclidean and related spaces (53A04)

Related Items (1)

The weak Frenet frame of non-smooth curves with finite total curvature and absolute torsion

Cites Work

• The total absolute torsion of open curves in \(E^{3}\)
• Topology of surfaces with connected shades
• The total absolute curvature of open curves in \(E^{3}\)
• The total absolute curvature of nonclosed curves in \(S^2\)
• The total absolute curvature of nonclosed curves in \(S^2\). II
• SPACE CURVES WITH NONZERO TORSION
• ON TOTARO'S THEOREM FOR CLOSED SPACE CURVES
• On total curvatures of closed space curves
• The Milnor-Totaro theorem for space polygons

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