کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8898309 1631337 2018 36 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Cylinders as left invariant CMC surfaces in Sol3 and E(κ,τ)-spaces diffeomorphic to R3
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Cylinders as left invariant CMC surfaces in Sol3 and E(κ,τ)-spaces diffeomorphic to R3
چکیده انگلیسی
In the present paper we give a geometric proof for the existence of cylinders with constant mean curvature H>H(X) in certain simply connected homogeneous three-manifolds X diffeomorphic to R3, which always admit a Lie group structure. Here, H(X) denotes the critical value for which constant mean curvature spheres in X exist. Our cylinders are generated by a simple closed curve under a one-parameter group of isometries, induced by left translations along certain geodesics. In the spaces Sol3 and PSL˜2(R) we establish existence of new properly embedded constant mean curvature annuli. We include computed examples of cylinders in Sol3 generated by non-embedded simple closed curves.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 58, June 2018, Pages 141-176
نویسندگان
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