2024-03-28T23:01:58Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/698322022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Existence and uniqueness for Legendre curvesFukunaga, TomonoriTakahashi, Mosatomoopen accessexistenceuniquenessLegendre curvefrontalcurvature of Legendre curvecongruent as Legendre curve.410We 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.Department of Mathematics, Hokkaido University2012-12-17engdepartmental bulletin paperVoRhttps://doi.org/10.14943/84173http://hdl.handle.net/2115/6983210.14943/84173Hokkaido University Preprint Series in Mathematics1027110https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69832/1/pre1027.pdfapplication/pdf218.98 KB2012-12-17