Area Minimizing Unit Vector Fields on Antipodally Punctured Unit 2-Sphere
Differential Geometry
2021-02-23 v1
Abstract
We provide a lower value for the volume of a unit vector field tangent to an antipodally Euclidean sphere depending on the length of an ellipse determined by the indexes of its singularities.
Keywords
Cite
@article{arxiv.2102.11128,
title = {Area Minimizing Unit Vector Fields on Antipodally Punctured Unit 2-Sphere},
author = {Fabiano G. B. Brito and Jackeline Conrado and Icaro Gonçalves and Adriana V. Nicoli},
journal= {arXiv preprint arXiv:2102.11128},
year = {2021}
}
Comments
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