2 papers
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.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…