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arxiv: 2502.05955 · v1 · pith:PZ5MPURRnew · submitted 2025-02-09 · 🧮 math.DG

Area-minimizing unit vector fields on some spherical annuli

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keywords annulisomesphericalunitvectorareaarea-minimizingbound
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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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