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

Autor:	Brito, Fabiano G. B., Conrado, Jackeline, Gonçalves, Icaro, Nicoli, Adriana V.
Rok vydání:	2021
Předmět:	Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	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
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2102.11128 Zobrazit plný text záznamu View this record from Arxiv