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
ISSN:03865991
NCID:AA00711773
Description
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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