Area Minimizing Unit Vector Fields on Antipodally Punctured Unit 2-Sphere
Autor: | Brito, Fabiano G. B., Conrado, Jackeline, Gonçalves, Icaro, Nicoli, Adriana V. |
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Rok vydání: | 2021 |
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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 |
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