تقرير
A Smooth Intrinsic Flat Limit of with Negative Curvature
| العنوان: | A Smooth Intrinsic Flat Limit of with Negative Curvature |
|---|---|
| المؤلفون: | Krandel, Jared, Sweeney Jr, Paul |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, Mathematics - Metric Geometry |
| الوصف: | In 2014, Gromov asked if nonnegative scalar curvature is preserved under intrinsic flat convergence. Here we construct a sequence of closed oriented Riemannian $n$-manifolds, $n\geq 3$, with positive scalar curvature such that their intrinsic flat limit is a Riemannian manifold with negative scalar curvature. Comment: v2: The introduction has been revised, Theorem B removed, and notation for integral current structures corrected throughout |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.15332 |
| رقم الأكسشن: | edsarx.2406.15332 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |