کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4660436 1344368 2007 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Modifying a branched surface to carry a foliation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Modifying a branched surface to carry a foliation
چکیده انگلیسی

We consider C1 nonsingular flows on a closed 3-manifold under which there is no transverse disk that flows continuously back into its own interior. We provide an algorithm for modifying any branched surface transverse to such a flow ϕ that terminates in a branched surface carrying a foliation F precisely when F is transverse to ϕ. As a corollary, we find branched surfaces that do not carry foliations but that lift to ones that do.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 154, Issue 16, 15 August 2007, Pages 2962-2975