کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4606209 1337689 2012 27 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
General construction of symmetric parabolic structures
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
General construction of symmetric parabolic structures
چکیده انگلیسی

First we introduce a generalization of symmetric spaces to parabolic geometries. We provide construction of such parabolic geometries starting with classical symmetric spaces and we show that all regular parabolic geometries with smooth systems of involutive symmetries can be obtained in this way. Further, we investigate the case of parabolic contact geometries in great detail and we provide the full classification of those with semisimple groups of symmetries without complex factors. Finally, we explicitly construct all non-trivial contact geometries with non-complex simple groups of symmetries. We also indicate geometric interpretations of some of them.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 30, Issue 5, October 2012, Pages 450–476
نویسندگان
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