On the dimension of the singular set of perimeter minimizers in spaces with a two-sided Ricci curvature bound

التفاصيل البيبلوغرافية
العنوان: On the dimension of the singular set of perimeter minimizers in spaces with a two-sided Ricci curvature bound
المؤلفون: Cucinotta, Alessandro, Fiorani, Francesco
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Differential Geometry
الوصف: We show that the Hausdorff dimension of the singular set of perimeter minimizers in non-collapsed Ricci limit spaces with a two-sided Ricci curvature bound is at most $N-5$, where $N$ is the dimension of the ambient space. The estimate is sharp.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2405.05775
رقم الأكسشن: edsarx.2405.05775
قاعدة البيانات: arXiv