Loxodromic unit vector field on punctured spheres
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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