کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4605882 1631354 2015 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A Minkowski-type inequality for convex surfaces in the hyperbolic 3-space
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
A Minkowski-type inequality for convex surfaces in the hyperbolic 3-space
چکیده انگلیسی

In this note we derive a new Minkowski-type inequality for closed convex surfaces in the hyperbolic 3-space. The inequality is obtained by explicitly computing the area of the family of surfaces obtained from the normal flow and then applying the isoperimetric inequality. Using the same method, we also give elementary proofs of the classical Minkowski inequalities for closed convex surfaces in the Euclidean 3-space and in the 3-sphere.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 41, August 2015, Pages 102–109
نویسندگان
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