Event Details


Seminario de Geometría

Speaker: David Moya

Abstract: In this talk we generalized the classical Henneberg minimal surface by giving an infinite family of complete, finitely branched, non-orientable, stable minimal surfaces in \mathbb{R}^3. These surfaces can be grouped into subfamilies depending on a positive integer m, which essentially measures the number of branch points. We describe the isometry group of the most symmetric example H_m. The surfaces H_m can also be seeing either as the unique solution to a Björling problem for an hypocycloid of m+1 cups if m is even or as the conjugate minimal surface to the unique solution to a Björling problem for an hypocycloid of 2m+2 cups if m is odd.