Loxodromic unit vector field on punctured spheres
Differential Geometry
2019-10-01 v1
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.
Cite
@article{arxiv.1909.13136,
title = {Loxodromic unit vector field on punctured spheres},
author = {Jackeline Conrado and Adriana V. Nicoli and Giovanni N. Nunes},
journal= {arXiv preprint arXiv:1909.13136},
year = {2019}
}