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
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
The combinatorial geometry of Q-Gorenstein quasi-homogeneous surface singularities
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 G˜=SU˜(1,1). The Killing form on the Lie group G˜ gives rise to a bi-invariant Lorentz metric of constant curvature. We consider a discrete subgroup Γ1 and a cyclic discrete subgroup Γ2 in G˜ which satisfy certain conditions. We describe the Lorentz space form Γ1∖G˜/Γ2 by constructing a fundamental domain for the action of Γ1×Γ2 on G˜ by (g,h)⋅x=gxh−1. This fundamental domain is a polyhedron in the Lorentz manifold G˜ with totally geodesic faces. For a co-compact subgroup Γ1 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
نویسندگان
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