Mean curvature and compactification of surfaces in a negatively curved Cartan-Hadamard manifold

التفاصيل البيبلوغرافية
العنوان: Mean curvature and compactification of surfaces in a negatively curved Cartan-Hadamard manifold
المؤلفون: Esteve, Antonio, Palmer, Vicente
سنة النشر: 2012
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Differential Geometry, 53C20, 53C40 (Primary) 53C42, 57N05 (Secondary)
الوصف: We state and prove a Chern-Osserman-type inequality in terms of the volume growth for complete surfaces with controlled mean curvature properly immersed in a Cartan-Hadamard manifold $N$ with sectional curvatures bounded from above by a negative quantity $K_{N}\leq b<0$
Comment: 24 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1206.6748
رقم الأكسشن: edsarx.1206.6748
قاعدة البيانات: arXiv