کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6424557 | 1344250 | 2015 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Canonical polygons for the hyperbolic structures on the torus with a single cone point
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Let T0 be the once-punctured torus and θ a real number with 0<θ<2Ï. Let ÏË be a representation of Ï1(T0) to SL(2,R) which sends the peripheral loop to an elliptic element with trace â2cosâ¡(θ/2). Let Ï be the PSL(2,R)-representation induced from ÏË, and assume it satisfies Bowditch's Q-condition. In this paper, we construct a certain polyhedron, which is obtained as a variation of Jorgensen's theory to cone manifolds, and construct a complete cone hyperbolic structure on the 3-dimensional cone manifold obtained as the product of the torus with a single cone point and R which induces Ï as the holonomy representation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 196, Part B, December 2015, Pages 325-346
Journal: Topology and its Applications - Volume 196, Part B, December 2015, Pages 325-346
نویسندگان
Hirotaka Akiyoshi,