کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4606335 1337698 2009 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Geometric contacts of surfaces immersed in RnRn, n⩾5n⩾5
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Geometric contacts of surfaces immersed in RnRn, n⩾5n⩾5
چکیده انگلیسی

We study the extrinsic geometry of surfaces immersed in RnRn, n⩾5n⩾5, by analyzing their contacts with different standard geometrical models, such as hyperplanes and hyperspheres. We investigate the relation between different types of contact and the properties of the curvature ellipses at each point. In particular, we focalize our attention on the hyperspheres having contacts of corank two with the surface. This leads in a natural way to the concept of umbilical focus and umbilic curvature.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 27, Issue 3, June 2009, Pages 442–454
نویسندگان
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