کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1898916 1044803 2007 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Prescribing singularities of maximal surfaces via a singular Björling representation formula
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Prescribing singularities of maximal surfaces via a singular Björling representation formula
چکیده انگلیسی

We derive a proper formulation of the singular Björling problem for spacelike maximal surfaces with singularities in the Lorentz–Minkowski 3-space which roughly asks whether there exists a maximal surface that contains a prescribed curve as singularities, and then provide a representation formula which solves the problem in an affirmative way. As consequences, we construct many kinds of singularities of maximal surfaces and deduce some properties of the maximal surfaces related to the singularities due to the geometry of the Gauss map.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 57, Issue 11, October 2007, Pages 2167–2177
نویسندگان
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