کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1894457 | 1044180 | 2008 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On compact manifolds admitting indefinite metrics with parallel Weyl tensor
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On compact manifolds admitting indefinite metrics with parallel Weyl tensor On compact manifolds admitting indefinite metrics with parallel Weyl tensor](/preview/png/1894457.png)
چکیده انگلیسی
Compact pseudo-Riemannian manifolds that have parallel Weyl tensor without being conformally flat or locally symmetric are known to exist in infinitely many dimensions greater than 4. We prove some general topological properties of such manifolds, namely, vanishing of the Euler characteristic and real Pontryagin classes, and infiniteness of the fundamental group. We also show that, in the Lorentzian case, each of them is at least 5-dimensional and admits a two-fold cover which is a bundle over the circle.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 58, Issue 9, September 2008, Pages 1137–1147
Journal: Journal of Geometry and Physics - Volume 58, Issue 9, September 2008, Pages 1137–1147
نویسندگان
Andrzej Derdzinski, Witold Roter,