کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4660105 1344350 2010 4 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A complete stability theorem for foliations with singularities
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
A complete stability theorem for foliations with singularities
چکیده انگلیسی

We study codimension one smooth foliations with singularities on closed manifolds. We assume that the singularities are nondegenerate (of Bott–Morse type) in the sense of Scárdua and Seade (2009) [9] and prove a version of Thurston–Reeb stability theorem in terms of a component of the singular set: If all singularities are of center type and the foliation exhibits a compact leaf with trivial Cohomology group of degree one or a codimension ⩾3 component of the singular set with trivial Cohomology group of degree one then the foliation is compact and stable.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 157, Issue 13, 15 August 2010, Pages 2141-2144