کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4606380 | 1337700 | 2011 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On complete spacelike hypersurfaces with two distinct principal curvatures in a de Sitter space
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
We investigate complete spacelike hypersurfaces in a de Sitter space with two distinct principal curvatures and constant m -th mean curvature. By using Otsukiʼs idea, we obtain some global classification results. As their applications, we obtain some characterizations for hyperbolic cylinders. We prove that the only complete spacelike hypersurfaces in de Sitter (n+1)(n+1)-spaces S1n+1(1) (n⩾3n⩾3) of constant m -th mean curvature Hm(|Hm|⩾1)Hm(|Hm|⩾1) with two distinct principal curvatures λ and μ satisfying inf(λ−μ)2>0 are the hyperbolic cylinders. We also obtain some global rigidity results for hyperbolic cylinders and obtain some non-existence results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 29, Issue 3, June 2011, Pages 279–291
Journal: Differential Geometry and its Applications - Volume 29, Issue 3, June 2011, Pages 279–291
نویسندگان
Bing Ye Wu,