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Evolutes and involutes of frontals in the Euclidean plane

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/84196

Title: Evolutes and involutes of frontals in the Euclidean plane
Authors: Fukunaga, Tomonori Browse this author
Takahashi, Masatomo Browse this author
Keywords: evolute
involute
frontal
Legendre curve
inflection point
Issue Date: 31-Mar-2014
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 1052
Start Page: 1
End Page: 20
Abstract: We have already defined the evolutes and the involutes of fronts without inflection points. For regular curves or fronts, we can not define the evolutes at inflection points. On the other hand, the involutes can be defined at inflection points. In this case, the involute is not a front but a frontal at inflection points. We define evolutes of frontals under conditions. The definition is a generalisation of both evolutes of regular curves and of fronts. By using relationship between evolutes and involutes of frontals, we give an existence condition of the evolute with inflection points. We also give properties of evolutes and involutes of frontals.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69856
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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