کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4606456 | 1337704 | 2010 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Rotationally invariant constant mean curvature surfaces in homogeneous 3-manifolds
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Rotationally invariant constant mean curvature surfaces in homogeneous 3-manifolds Rotationally invariant constant mean curvature surfaces in homogeneous 3-manifolds](/preview/png/4606456.png)
چکیده انگلیسی
We classify constant mean curvature surfaces invariant by a 1-parameter group of isometries in the Berger spheres and in the special linear group Sl(2,R)Sl(2,R). In particular, all constant mean curvature spheres in those spaces are described explicitly, proving that they are not always embedded. Besides new examples of Delaunay-type surfaces are obtained. Finally the relation between the area and volume of these spheres in the Berger spheres is studied, showing that, in some cases, they are not solution to the isoperimetric problem.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 28, Issue 5, October 2010, Pages 593–607
Journal: Differential Geometry and its Applications - Volume 28, Issue 5, October 2010, Pages 593–607
نویسندگان
Francisco Torralbo,