Rui Pacheco

collaborators

3 papers

math.DG2026

Constantly curved minimal immersions of the two-sphere in unitary groups

Rui Pacheco, Mehmood Ur Rehman

In this article, we investigate rigidity results for constantly curved minimal immersions of the two-sphere $S^{2}$ into the unitary group $U (n)$ . Using loop group methods f…

math.DG2025

Classification of primitive immmersions of constant curvature into flag manifolds

Rui Pacheco, Mehmood Ur Rehman

We classify primitive minimal immersions of constant curvature from the two-sphere $S^{2}$ into the low-dimensional flag manifolds $F_{2, 1, 1}$ and $F_{2, 2, 1}$ .

math.DG2025

Primitive immersions of constant curvature of surfaces into flag manifolds

Rui Pacheco, Mehmood Ur Rehman

We investigate certain immersions of constant curvature from Riemann surfaces into flag manifolds equipped with invariant metrics, namely primitive lifts associated to pseudoholomo…