Joaqu'in P'erez

collaborators

3 papers

math.DG2026

Frobenius conjugation and Jacobi functions for minimal immersions in $S^{3}$ and CMC $1$ immersions in $R^{3}$

José M. Espinar, Joaquín Pérez

We give a first-order Frobenius description of conjugate minimal immersions in the round three-sphere and use it to define the conjugate of an arbitrary Jacobi function. The constr…

math.DG2025

Genus two embedded minimal surfaces in $S^{3}$ with dihedral symmetry

José M. Espinar, Joaquín Pérez

We prove that the Lawson surface $ξ_{2, 1}$ is the unique closed embedded minimal surface of genus $2$ in $S^{3}$ whose isometry group contains the dihedral group $D_{4}$ gener…

math.DG2025

Minimal Surfaces of Finite Genus: Classification, Dynamics and Laminations

Joaquín Pérez

This article explains a program to study complete and properly embedded minimal surfaces in $R^{3}$ developed jointly with W.H. Meeks and A. Ros in the last three decades. I…

Frobenius conjugation and Jacobi functions for minimal immersions in S3 and CMC 1 immersions in R3

Genus two embedded minimal surfaces in S3 with dihedral symmetry

Minimal Surfaces of Finite Genus: Classification, Dynamics and Laminations

Frobenius conjugation and Jacobi functions for minimal immersions in $S^{3}$ and CMC $1$ immersions in $R^{3}$

Genus two embedded minimal surfaces in $S^{3}$ with dihedral symmetry