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

Fabiano G. B. Brito, Jackeline Conrado, Icaro Gonçalves +1

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 ind…