تقرير
$\ell^p$ metrics on cell complexes
| العنوان: | $\ell^p$ metrics on cell complexes |
|---|---|
| المؤلفون: | Haettel, Thomas, Hoda, Nima, Petyt, Harry |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory, Mathematics - Metric Geometry, 57M60, 52A21, 51F30, 20F65, 20F67 |
| الوصف: | Motivated by the observation that groups can be effectively studied using metric spaces modelled on $\ell^1$, $\ell^2$, and $\ell^\infty$ geometry, we consider cell complexes equipped with an $\ell^p$ metric for arbitrary $p$. Under weak conditions that can be checked locally, we establish nonpositive curvature properties of these complexes, such as Busemann-convexity and strong bolicity. We also provide detailed information on the geodesics of these metrics in the special case of CAT(0) cube complexes. Comment: 36 pages, 7 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2302.03801 |
| رقم الأكسشن: | edsarx.2302.03801 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |