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math.DG2025
Area-minimizing unit vector fields on some spherical annuli
Fabiano Brito, Jackeline Conrado, João Lucas +1
We establish in this paper a sharp lower bound for the area of a unit vector field defined on some spherical annuli in the Euclidean sphere .
math.DG2025
A correspondence between genus one minimal Lawson surfaces of and area-minimizing unit vector fields on the antipodally punctured unit 2-sphere
Fabiano Brito, Jackeline Conrado, David L. Johnson +1
A correspondence is established between a class of minimal immersed surfaces of and area-minimizing unit vector fields defined on the antipodally punctured unit s…