کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4615828 1339330 2014 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A gap theorem on submanifolds with finite total curvature in spheres
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
A gap theorem on submanifolds with finite total curvature in spheres
چکیده انگلیسی

We study a complete noncompact submanifold MnMn in a sphere Sn+pSn+p. We prove that there admit no nontrivial L2L2-harmonic 1-forms on M if the total curvature is bounded from above by a constant depending only on n. The gap theorem is a generalized version of Carronʼs, Yunʼs, Cavalcanteʼs and the first authorʼs results on submanifolds in Euclidean spaces and Seoʼs result on submanifolds in hyperbolic space without the condition of minimality.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 413, Issue 1, 1 May 2014, Pages 195–201
نویسندگان
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