کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4666028 1633847 2013 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Surfaces of constant curvature in R3 with isolated singularities
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Surfaces of constant curvature in R3 with isolated singularities
چکیده انگلیسی
We prove that finite area isolated singularities of surfaces with constant positive curvature K>0 in R3 are removable singularities, branch points or immersed conical singularities. We describe the space of immersed conical singularities of such surfaces in terms of the class of real analytic closed locally strictly convex curves in S2 with admissible cusp singularities, characterizing when the singularity is actually embedded. In the global setting, we describe the space of peaked spheres in R3, i.e. compact convex surfaces of constant curvature K>0 with a finite number of singularities, and give applications to harmonic maps and constant mean curvature surfaces.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 241, 10 July 2013, Pages 103-126
نویسندگان
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