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
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A remark on the mean curvature of a graph-like hypersurface in hyperbolic space A remark on the mean curvature of a graph-like hypersurface in hyperbolic space](/preview/png/9503201.png)
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 â1. As a byproduct we get a relation between the n-dimensional volume of a bounded domain in an n-dimensional hyperbolic space and the (nâ1)-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
Journal: Journal of Mathematical Analysis and Applications - Volume 305, Issue 2, 15 May 2005, Pages 491-501
نویسندگان
Zonglao Zhang,