کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4606670 1337720 2008 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Generalizations of the Liouville theorem
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Generalizations of the Liouville theorem
چکیده انگلیسی

The purpose of this paper is to generalize the Liouville theorem for functions which are defined on the complete Riemannian manifolds. Then, we apply it to the isometric immersions between complete Riemannian manifolds in order to obtain an estimate for the size of the image of immersions in terms of the supremum of the length of their mean curvature vector in a quite general setting. The proofs are based on the Calabi's generalization of maximum principle for functions which are not necessarily differentiable.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 26, Issue 3, June 2008, Pages 339–345
نویسندگان
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