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Hokkaido University Preprint Series in Mathematics >
Existence and uniqueness for Legendre curves
| 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 |
| Publisher: | Department of Mathematics, Hokkaido University |
| 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
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Submitter: 数学紀要登録作業用
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