Loxodromic unit vector field on punctured spheres

2019/09/28 by Jackeline Conrado, Conrado, Jackeline, Adriana V. Nicoli +3
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.1909.13136

arxiv created 2019/09/28 · arxiv updated 2019/10/01

Abstract

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 Poincaré indexes around their singularities.

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