کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4606267 1337694 2011 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Isoperimetric inequalities for special classes of curves
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Isoperimetric inequalities for special classes of curves
چکیده انگلیسی

In this paper the classical Banchoff–Pohl inequality, an isoperimetric inequality for nonsimple closed curves in the Euclidean plane, involving the square of the winding number, is sharpened for homothetic or Abresch–Langer solutions of curve shortening. For a larger class of curves and for rotationally symmetric curves, further isoperimetric inequalities containing the rotation number and the winding number, are presented.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 29, Issue 1, February 2011, Pages 1–6
نویسندگان
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