Giovanni Nunes

collaborators

2 papers

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.DG2025

Area-minimizing unit vector fields on some spherical annuli

Fabiano Brito, Jackeline Conrado, JoÃ£o 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 $S^{2}$ .

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

Area-minimizing unit vector fields on some spherical annuli

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