کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4606188 1337688 2011 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Structure of a Morse form foliation on a closed surface in terms of genus
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Structure of a Morse form foliation on a closed surface in terms of genus
چکیده انگلیسی

We study the geometry of compact singular leaves γ   and minimal components CminCmin of the foliation FωFω of a Morse form ω on a genus g   closed surface Mg2 in terms of genus g(⁎)g(⁎). We show that c(ω)+∑γg(V(γ))+g(⋃Cmin¯)=g, where c(ω)c(ω) is the number of homologically independent compact leaves and V(⁎)V(⁎) is a small closed tubular neighborhood. This allows us to prove a criterion for compactness of the singular foliation F¯ω, to estimate the number of its minimal components, and to give an upper bound on the rank rk ω, in terms of genus.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 29, Issue 4, August 2011, Pages 473–492
نویسندگان
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