کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1893274 1044076 2010 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Epicycloids generating Hamiltonian minimal surfaces in the complex quadric
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Epicycloids generating Hamiltonian minimal surfaces in the complex quadric
چکیده انگلیسی

We show that Hopf tubes on Lancret curves shaped over an epicycloid are Hamiltonian minimal surfaces in the complex quadric. Moreover they are the only Hopf tubes that are Hamiltonian minimal there. This allows one to connect two apparently unrelated topics, such as Hamiltonian minimal surfaces and curves with constant precession, and more generally slant helices. Furthermore, Hamiltonian minimal Hopf tubes encode the phases of particles described according to the gyroscopic force theory.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 60, Issue 1, January 2010, Pages 68–73
نویسندگان
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