کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9503201 1339559 2005 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A remark on the mean curvature of a graph-like hypersurface in hyperbolic space
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
A remark on the mean curvature of a graph-like hypersurface in hyperbolic space
چکیده انگلیسی
In this paper we investigate the mean curvature H of a radial graph in hyperbolic space Hn+1. We obtain an integral inequality for H, and find that the lower limit of H at infinity is less than or equal to 1 and the upper limit of H at infinity is more than or equal to −1. As a byproduct we get a relation between the n-dimensional volume of a bounded domain in an n-dimensional hyperbolic space and the (n−1)-dimensional volume of its boundary. We also sharpen the main result of a paper by P.-A. Nitsche dealing with the existence and uniqueness of graph-like prescribed mean curvature hypersurfaces in hyperbolic space.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 305, Issue 2, 15 May 2005, Pages 491-501
نویسندگان
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