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http://dx.doi.org/10.7858/eamj.2010.26.1.069

RATIONAL CURVES ARE NOT UNIT SPEED IN THE GENERAL EUCLIDEAN SPACE  

Lee, Sun-Hong (DEPARTMENT OF MATHEMATICS AND RINS GYEONGSANG NATIONAL UNIVERSITY)
Publication Information
East Asian mathematical journal / v.26, no.1, 2010 , pp. 69-73 More about this Journal
Abstract
We invoke the characterization of Pythagorean-hodograph polynomial curves and prove that it is impossible to parameterize any real curves, other than a straight line, by rational functions of its arc length.
Keywords
rational curves; unit speed; pythagorean n-tuples;
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