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1. • CommentRowNumber1.
   • CommentAuthorzskoda
   • CommentTimeSep 20th 2011
   • (edited Sep 20th 2011)
   • PermaLink
   Author: zskoda
   Format: MarkdownItexI added the notion of a regular curve to [[curve]]. In differential geometry, for most purposes only regular curves are useful: the parametrized smooth curves with never vanishing velocity. Smooth curves as smooth maps from the interval are not of much use without the regularity condition: their image may be far from smooth, with e.g. cusps and clustered sequences of self/intersections.

   I added the notion of a regular curve to curve. In differential geometry, for most purposes only regular curves are useful: the parametrized smooth curves with never vanishing velocity. Smooth curves as smooth maps from the interval are not of much use without the regularity condition: their image may be far from smooth, with e.g. cusps and clustered sequences of self/intersections.