Area-minimizing unit vector fields on some spherical annuli

Fuente: arXiv
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Main Authors: Brito, Fabiano, Conrado, Jackeline, Lucas, João, Nunes, Giovanni
Format: Preprint
Published: 2025
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author Brito, Fabiano
Conrado, Jackeline
Lucas, João
Nunes, Giovanni
author_facet Brito, Fabiano
Conrado, Jackeline
Lucas, João
Nunes, Giovanni
contents We establish in this paper a sharp lower bound for the area of a unit vector field $V$ defined on some spherical annuli in the Euclidean sphere $\mathbb{S}^2$.
format Preprint
id arxiv_https___arxiv_org_abs_2502_05955
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Area-minimizing unit vector fields on some spherical annuli
Brito, Fabiano
Conrado, Jackeline
Lucas, João
Nunes, Giovanni
Differential Geometry
We establish in this paper a sharp lower bound for the area of a unit vector field $V$ defined on some spherical annuli in the Euclidean sphere $\mathbb{S}^2$.
title Area-minimizing unit vector fields on some spherical annuli
topic Differential Geometry
url https://arxiv.org/abs/2502.05955