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arxiv: 1909.13136 · v1 · pith:EFYNLFBM · submitted 2019-09-28 · math.DG

Loxodromic unit vector field on punctured spheres

Jackeline Conrado , Adriana V. Nicoli , Giovanni N. Nunes This is my paper

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classification math.DG
keywords loxodromicpuncturedspheresunitvectorachievingantipodallyaround
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In these short notes we characterize the loxodromic unit vector fields on antipodally punctured Euclidean spheres as the only ones achieving a lower bound for the volume functional depending on the Poincar\'e indexes around their singularities.

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