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Existence and uniqueness for Legendre curves

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/84173

Title: Existence and uniqueness for Legendre curves
Authors: Fukunaga, Tomonori Browse this author
Takahashi, Mosatomo Browse this author
Keywords: existence
uniqueness
Legendre curve
frontal
curvature of Legendre curve
congruent as Legendre curve.
Issue Date: 17-Dec-2012
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 1027
Start Page: 1
End Page: 10
Abstract: We give a moving frame of a Legendre curve (or, a frontal) in the unite tangent bundle and de ne a pair of smooth functions of a Legendre curve like as the curvature of a regular plane curve. The existence and uniqueness for Legendre curves are holded like as regular plane curves. It is quite useful to analyse the Legendre curves. As applications, we consider contact between Legendre curves and the arc-length parameter of Legendre immersions in the unite tangent bundle.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69832
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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