کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4606190 | 1337688 | 2011 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The combinatorial geometry of Q-Gorenstein quasi-homogeneous surface singularities
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
The main result of this paper is a construction of fundamental domains for certain group actions on Lorentz manifolds of constant curvature. We consider the simply connected Lie group GË=SUË(1,1). The Killing form on the Lie group GË gives rise to a bi-invariant Lorentz metric of constant curvature. We consider a discrete subgroup Î1 and a cyclic discrete subgroup Î2 in GË which satisfy certain conditions. We describe the Lorentz space form Î1âGË/Î2 by constructing a fundamental domain for the action of Î1ÃÎ2 on GË by (g,h)â
x=gxhâ1. This fundamental domain is a polyhedron in the Lorentz manifold GË with totally geodesic faces. For a co-compact subgroup Î1 the corresponding fundamental domain is compact.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 29, Issue 4, August 2011, Pages 507-515
Journal: Differential Geometry and its Applications - Volume 29, Issue 4, August 2011, Pages 507-515
نویسندگان
Anna Pratoussevitch,