کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8898312 1631337 2018 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Generalized Weingarten surfaces of harmonic type in hyperbolic 3-space
ترجمه فارسی عنوان
سطوح وینگارنت های جامع هارمونیک در فضای هذلولی 3-فضای
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی
In this paper we study a large class of Weingarten surfaces M with prescribed hyperbolic Gauss map in the Hyperbolic 3-space, which are the analogous to the Laguerre minimal surfaces in Euclidean space, these surfaces will be called Generalized Weingarten surfaces of harmonic type (HGW-surfaces), this class includes the surfaces of mean curvature one and the linear Weingarten surfaces of Bryant type (BLW-surfaces). We obtain a Weierstrass type representation for this surfaces which depend of three holomorphic functions. As applications we classify the HGW-surfaces of rotation and we obtain a Weierstrass type representation for surfaces of mean curvature one with prescribed hyperbolic Gauss map which depend of two holomorphic functions. Moreover, we classify a class of complete mean curvature one surfaces parametrized by lines of curvature whose coordinates curves has the same geodesic curvature up to sign.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 58, June 2018, Pages 202-226
نویسندگان
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