2 papers
math.DG2024
Existence and partial regularity of Legendrian area-minimizing currents
Gerard Orriols
We show that Legendrian integral currents in a contact manifold that locally minimize the mass among Legendrian competitors have a regular set which is open and dense in their supp…
math.AP2019
Any three eigenvalues do not determine a triangle
Javier Gómez-Serrano, Gerard Orriols
Despite the moduli space of triangles being three dimensional, we prove the existence of two triangles which are not isometric to each other for which the first, second and fourth…