کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1893481 | 1533763 | 2014 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the geometry of null hypersurfaces in Minkowski space
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On the geometry of null hypersurfaces in Minkowski space On the geometry of null hypersurfaces in Minkowski space](/preview/png/1893481.png)
چکیده انگلیسی
The present work is divided into three parts. First we study the null hypersurfaces of the Minkowski space R1n+2, classifying all rotation null hypersurfaces in R1n+2. In the second part we start our analysis of the submanifold geometry of the null hypersurfaces. In the particular case of the (n+1)-dimensional light cone, we characterize its totally umbilical spacelike hypersurfaces, show the existence of non-totally umbilical ones and give a uniqueness result for the minimal spacelike rotation surfaces in the 3-dimensional light cone. In the third and final part we consider an isolated umbilical point on a spacelike surface immersed in the 3-dimensional light cone of R14 and obtain the differential equation of the principal configuration associated to this point, showing that every classical generic Darbouxian principal configuration appears in this context.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 75, January 2014, Pages 199-212
Journal: Journal of Geometry and Physics - Volume 75, January 2014, Pages 199-212
نویسندگان
Matias Navarro, Oscar Palmas, Didier A. Solis,