کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8256110 | 1533734 | 2016 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Biharmonic and f-biharmonic maps from a 2-sphere
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We study biharmonic maps and f-biharmonic maps from the standard sphere (S2,g0), the latter maps are equivalent to biharmonic maps from Riemann spheres (S2,fâ1g0). We proved that for rotationally symmetric maps between rotationally symmetric spaces, both biharmonicity and f-biharmonicity reduce to a 2nd order linear ordinary differential equation. As applications, we give a method to produce biharmonic maps and f-biharmonic maps from given biharmonic maps and we construct many examples of biharmonic and f-biharmonic maps from the standard sphere S2 and between two such spheres. Our examples include non-conformal proper biharmonic maps from Riemann spheres (S2,fâ1g0)â¶S2 and (S2,fâ1g0)â¶Sn, or non-conformal f-biharmonic maps from the standard spheres (S2,g0)â¶S2 and (S2,g0)â¶Sn with two singular points.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 104, June 2016, Pages 137-147
Journal: Journal of Geometry and Physics - Volume 104, June 2016, Pages 137-147
نویسندگان
Ze-Ping Wang, Ye-Lin Ou, Han-Chun Yang,