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arxiv: 2102.11128 · v1 · pith:55YB3H3Wnew · submitted 2021-02-22 · 🧮 math.DG

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

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keywords unitantipodallyspherevectorareadependingdeterminedellipse
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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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