Journal Article On convexity of simple closed frontals

FUKUNAGA, Tomonori  ,  TAKAHASHI, Masatomo

39 ( 2 )  , pp.389 - 398 , 2016-06 , 東京工業大学理学部数学教室
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 Legendrecurve does not change. We also give some examples of convex simple closed frontals.

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