Area Minimizing Unit Vector Fields on Antipodally Punctured Unit 2-Sphere

التفاصيل البيبلوغرافية
العنوان: Area Minimizing Unit Vector Fields on Antipodally Punctured Unit 2-Sphere
المؤلفون: Brito, Fabiano G. B., Conrado, Jackeline, Gonçalves, Icaro, Nicoli, Adriana V.
سنة النشر: 2021
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Differential Geometry
الوصف: We provide a lower value for the volume of a unit vector field tangent to an antipodally Euclidean sphere $\mathbb{S}^2$ depending on the length of an ellipse determined by the indexes of its singularities.
Comment: This paper concerns a new version of Theorem 1 in arXiv:2011.05183. An updated version of Theorem 2 in the same paper will appear very soon on another submission
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2102.11128
رقم الأكسشن: edsarx.2102.11128
قاعدة البيانات: arXiv