کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4606607 1337716 2009 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On hypersurfaces with two distinct principal curvatures in a unit sphere
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
On hypersurfaces with two distinct principal curvatures in a unit sphere
چکیده انگلیسی

We investigate the immersed hypersurfaces in a unit sphere Sn+1(1)Sn+1(1). By using Otsuki's idea, we obtain the local and global classification results for immersed hypersurfaces in Sn+1(1)Sn+1(1) of constant m  -th mean curvature and two distinct principal curvatures of multiplicities n−1,1n−1,1 (in the local version, we assume that the principal curvatures are non-zero when m⩾2m⩾2). As the result, we prove that any local hypersurface in Sn+1(1)Sn+1(1) of constant mean curvature and two distinct principal curvatures is an open part of a complete hypersurface of the same curvature properties. The corresponding result does not hold for m  -th mean curvature when m⩾2m⩾2.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 27, Issue 5, October 2009, Pages 623–634
نویسندگان
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