کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8898355 1631339 2018 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The differential geometry of curves in the Heisenberg groups
ترجمه فارسی عنوان
هندسه دیفرانسیل منحنی در گروه هایزنبرگ
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی
We study the horizontally regular curves in the Heisenberg groups Hn. We prove a fundamental theorem for curves in Hn(n≥1) and define the order of horizontally regular curves. We also show that the curve γ is of order k if and only if, up to a Heisenberg rigid motion, γ lies in Hk but not in Hk−1; moreover, two curves with the same order differ in a rigid motion if and only if they have the same invariants: p-curvatures and contact normality. Thus, combining these results with our previous work [3] we get a complete classification of horizontally regular curves in Hn for n≥1.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 56, February 2018, Pages 161-172
نویسندگان
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