کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1898398 1533728 2016 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Complete biconservative surfaces in R3 and S3
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Complete biconservative surfaces in R3 and S3
چکیده انگلیسی
In this paper we consider the complete biconservative surfaces in Euclidean space R3 and in the unit Euclidean sphere S3. Biconservative surfaces in 3-dimensional space forms are characterized by the fact that the gradient of their mean curvature function is an eigenvector of the shape operator, and we are interested in studying local and global properties of such surfaces with non-constant mean curvature function. We determine the simply connected, complete Riemannian surfaces that admit biconservative immersions in R3 and S3. Moreover, such immersions are explicitly described.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 110, December 2016, Pages 130-153
نویسندگان
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