کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1894977 | 1044260 | 2010 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Einstein connections and involutions via parabolic geometries
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Einstein connections and involutions via parabolic geometries Einstein connections and involutions via parabolic geometries](/preview/png/1894977.png)
چکیده انگلیسی
This paper demonstrates a way of finding Einstein connections (affine connections whose Ricci tensor is non-degenerate and covariantly constant) via parabolic geometry. Extending the results in the projective and conformal cases, it demonstrates that the existence of a preserved involution Ï on an associated bundle A leads-under mild conditions-to the construction of a specific Einstein connection, among the Weyl connections of the parabolic geometry. The conditions necessary for the existence of such 'Einstein involutions' are then presented, corresponding to a small family of holonomy reductions for the Cartan connection defining the parabolic geometry. This is illustrated with a few examples.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 60, Issue 10, October 2010, Pages 1424-1440
Journal: Journal of Geometry and Physics - Volume 60, Issue 10, October 2010, Pages 1424-1440
نویسندگان
Stuart Armstrong,