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Curves with continuous Curvatures in Euclidean spaces

Authors :
Vitaly Ushakov
Source :
Bulletin of the Australian Mathematical Society. 57:393-401
Publication Year :
1998
Publisher :
Cambridge University Press (CUP), 1998.

Abstract

A class of curves of minimal smoothness for which one can build the Frenet frame, Frenet's formulae and osculating planes is described.

Subjects

Subjects :
Eight-dimensional space
n-sphere
Euclidean space
General Mathematics
Frenet–Serret formulas
Mathematical analysis
Euclidean group
Affine space
Origin
Mathematics
Osculating circle

Details

ISSN :
17551633 and 00049727
Volume :
57
Database :
OpenAIRE
Journal :
Bulletin of the Australian Mathematical Society
Accession number :
edsair.doi...........4dfa52b5dda0e7567865cb1d9f6b5f6b
Full Text :
https://doi.org/10.1017/s0004972700031804
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