Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
On convexity of simple closed frontals
Tomonori FukunagaMasatomo Takahashi
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2016 年 39 巻 2 号 p. 389-398

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We study convexity of simple closed frontals of Legendre curves in the Euclidean plane by using the curvature of Legendre curves. We show that for a Legendre curve, the simple closed frontal under conditions 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.
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© 2016 Department of Mathematics, Tokyo Institute of Technology
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