کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4664623 | 1345302 | 2011 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Hypersurfaces with constant mean curvature in a hyperbolic space
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Hypersurfaces with constant mean curvature in a hyperbolic space Hypersurfaces with constant mean curvature in a hyperbolic space](/preview/png/4664623.png)
چکیده انگلیسی
Let Mn be an n-dimensional complete connected and oriented hypersurface in a hyperbolic space Hn+1(c) with non-zero constant mean curvature H and two distinct principal curvatures. In this paper, we show that (1) if the multiplicities of the two distinct principal curvatures are greater than 1, then Mn is isometric to the Riemannian product Sk(r) × Hn−k (−1/(r2 + ρ2)), where r > 0 and 1 < k < n − 1; (2) if H2 > −c and one of the two distinct principal curvatures is simple, then Mn is isometric to the Riemannian product Sn−1(r) × H1 (−1/(r2 + ρ2)) or S1(r) × Hn−1 (−1/(r2 + ρ2)) r > 0, if one of the following conditions is satisfied (i) on Mn or (ii) on Mn or (iii) on Mn, where t1 and t2 are the positive real roots of (1.5).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Acta Mathematica Scientia - Volume 31, Issue 3, May 2011, Pages 1091-1102
Journal: Acta Mathematica Scientia - Volume 31, Issue 3, May 2011, Pages 1091-1102