کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4616223 1339342 2014 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Ribaucour transformations for flat surfaces in the hyperbolic 3-space
ترجمه فارسی عنوان
تحولات ریباکور برای سطوح مسطح در فضای هذلولی 3-فضا؟
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی

We consider Ribaucour transformations for flat surfaces in the hyperbolic 3-space, H3H3. We show that such transformations produce complete, embedded ends of horosphere type and curves of singularities which generically are cuspidal edges. Moreover, we prove that these ends and curves of singularities do not intersect. We apply Ribaucour transformations to rotational flat surfaces in H3H3 providing new families of explicitly given flat surfaces H3H3 which are determined by several parameters. For special choices of the parameters, we get surfaces that are periodic in one variable and surfaces with any even number or an infinite number of embedded ends of horosphere type.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 412, Issue 2, 15 April 2014, Pages 720–743
نویسندگان
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