تقرير
On the signature of the Ricci curvature on nilmanifolds
| العنوان: | On the signature of the Ricci curvature on nilmanifolds |
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| المؤلفون: | Arroyo, Romina M., Lafuente, Ramiro A. |
| سنة النشر: | 2020 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry |
| الوصف: | We completely describe the signatures of the Ricci curvature of left-invariant Riemannian metrics on arbitrary real nilpotent Lie groups. The main idea in the proof is to exploit a link between the kernel of the Ricci endomorphism and closed orbits in a certain representation of the general linear group, which we prove using the `real GIT' framework for the Ricci curvature of nilmanifolds. Comment: 11 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2009.11464 |
| رقم الأكسشن: | edsarx.2009.11464 |
| قاعدة البيانات: | arXiv |
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