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
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
On complete spacelike hypersurfaces with two distinct principal curvatures in a de Sitter space
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
نویسندگان
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