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arXiv · 2502.05955

Area-minimizing unit vector fields on some spherical annuli

Fabiano Brito·Jackeline Conrado·João Lucas·Giovanni Nunes
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Abstract

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 $\mathbb{S}^2$.

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Fabiano Brito, Jackeline Conrado, João Lucas, Giovanni Nunes. 2025-02-09. Area-minimizing unit vector fields on some spherical annuli. https://arxiv.org/abs/2502.05955

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