تقرير
Llarull's theorem on punctured sphere with $L^\infty$ metric
| العنوان: | Llarull's theorem on punctured sphere with $L^\infty$ metric |
|---|---|
| المؤلفون: | Chu, Jianchun, Lee, Man-Chun, Zhu, Jintian |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, Mathematics - Metric Geometry |
| الوصف: | The classical Llarull theorem states that a smooth metric on $n$-sphere cannot have scalar curvature no less than $n(n-1)$ and dominate the standard spherical metric at the same time unless it is the standard spherical metric. In this work, we prove that Llarull's rigidity theorem holds for $L^{\infty}$ metrics on spheres with finitely many points punctured. This is related to a question of Gromov. Comment: printing mistakes corrected, 10 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2405.19724 |
| رقم الأكسشن: | edsarx.2405.19724 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |