کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5778481 1633776 2017 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Finite topology minimal surfaces in homogeneous three-manifolds
ترجمه فارسی عنوان
سطوح حداقل توپولوژی محدود در سه منیفولد همگن
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
چکیده انگلیسی
We prove that any complete, embedded minimal surface M with finite topology in a homogeneous three-manifold N has positive injectivity radius. When one relaxes the condition that N be homogeneous to that of being locally homogeneous, then we show that the closure of M has the structure of a minimal lamination of N. As an application of this general result we prove that any complete, embedded minimal surface with finite genus and a countable number of ends is compact when the ambient space is S3 equipped with a homogeneous metric of nonnegative scalar curvature.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 312, 25 May 2017, Pages 185-197
نویسندگان
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