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[Untitled]

Authors :
Kazuyuki Enomoto
Source :
Geometriae Dedicata. 65:193-201
Publication Year :
1997
Publisher :
Springer Science and Business Media LLC, 1997.

Abstract

The total squared curvature of a closed plane curve is minimized by a covering of a circle, if the rotation number of the curve is not zero. We measure the closeness of a closed plane curve to a circle by the difference of its total squared curvature from the minimum. A similar result is obtained for a simple closed curve in the 2-sphere.

Subjects

Subjects :
Asymptotic curve
Curve orientation
Plane curve
Torsion of a curve
Mathematical analysis
Total curvature
Center of curvature
Geometry
Geometry and Topology
Curvature
Mathematics
Osculating circle

Details

ISSN :
00465755
Volume :
65
Database :
OpenAIRE
Journal :
Geometriae Dedicata
Accession number :
edsair.doi...........6d68a9cc92cfd9f6616c551c1bf08865
Full Text :
https://doi.org/10.1023/a:1004928804833
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