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arXiv · 2102.11128

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

Fabiano G. B. Brito·Jackeline Conrado·Icaro Gonçalves·Adriana V. Nicoli
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Abstract

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.

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Fabiano G. B. Brito, Jackeline Conrado, Icaro Gonçalves, Adriana V. Nicoli. 2021-02-22. Area Minimizing Unit Vector Fields on Antipodally Punctured Unit 2-Sphere. https://arxiv.org/abs/2102.11128

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