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arXiv · 1909.13136

Loxodromic unit vector field on punctured spheres

Jackeline Conrado·Adriana V. Nicoli·Giovanni N. Nunes
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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 Poincar\'e indexes around their singularities.

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Jackeline Conrado, Adriana V. Nicoli, Giovanni N. Nunes. 2019-09-28. Loxodromic unit vector field on punctured spheres. https://arxiv.org/abs/1909.13136

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