Giovanni Nunes

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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 $V$ defined on some spherical annuli in the Euclidean sphere $S^{2}$ .

math.DG2025

A correspondence between genus one minimal Lawson surfaces of $S^{3} (2)$ 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 $S^{3} (2)$ and area-minimizing unit vector fields defined on the antipodally punctured unit s…

math.DG2019

Loxodromic unit vector field on punctured spheres

Jackeline Conrado, Adriana V. Nicoli, Giovanni N. Nunes

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…

Area-minimizing unit vector fields on some spherical annuli

A correspondence between genus one minimal Lawson surfaces of S3(2) and area-minimizing unit vector fields on the antipodally punctured unit 2-sphere

Loxodromic unit vector field on punctured spheres

A correspondence between genus one minimal Lawson surfaces of $S^{3} (2)$ and area-minimizing unit vector fields on the antipodally punctured unit 2-sphere