کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1894295 | 1044159 | 2009 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On Nurowski’s conformal structure associated to a generic rank two distribution in dimension five
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On Nurowski’s conformal structure associated to a generic rank two distribution in dimension five On Nurowski’s conformal structure associated to a generic rank two distribution in dimension five](/preview/png/1894295.png)
چکیده انگلیسی
For a generic distribution of rank two on a manifold MM of dimension five, we introduce the notion of a generalized contact form. To such a form we associate a generalized Reeb field and a partial connection. From these data, we explicitly construct a pseudo-Riemannian metric on MM of split signature. We prove that a change of the generalized contact form only leads to a conformal rescaling of this metric, so the corresponding conformal class is intrinsic to the distribution.In the second part of the article, we relate this conformal class to the canonical Cartan connection associated to the distribution. This is used to prove that it coincides with the conformal class constructed by Nurowski.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 59, Issue 7, July 2009, Pages 901–912
Journal: Journal of Geometry and Physics - Volume 59, Issue 7, July 2009, Pages 901–912
نویسندگان
Andreas Čap, Katja Sagerschnig,