کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4582336 1333790 2015 30 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Revisiting Poincaré’s Theorem on presentations of discontinuous groups via fundamental polyhedra
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Revisiting Poincaré’s Theorem on presentations of discontinuous groups via fundamental polyhedra
چکیده انگلیسی

We give a new self-contained proof of Poincaré’s Polyhedron Theorem on presentations of discontinuous groups of isometries of a Riemann manifold of constant curvature. The proof is not based on the theory of covering spaces, but only makes use of basic geometric concepts. In a sense one hence obtains a proof that is of a more constructive nature than most known proofs.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Expositiones Mathematicae - Volume 33, Issue 4, 2015, Pages 401–430
نویسندگان
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