A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is
We study convexity of simple closed frontals in the Euclidean plane by using the curvature of Legendre curves. We show that for a Legendre curve, the simple closed frontal is convex if and only if the sign of both functions of the curvature of the Legendre curve does not change. We also give some examples of convex simple closed frontals. 2010 Mathematics Subject classification: 58K05, 53A04, 57R45doi:10.2996/kmj/1467830145 fatcat:czd7qgsm3va4xoy4p3pmibvfsq