2 papers
math.DG2023
A family of higher genus complete minimal surfaces that includes the Costa-Hoffman-Meeks one
Irene I. Onnis, Bárbara C. Valério, José Antonio M. Vilhena
In this paper, we construct a one-parameter family of minimal surfaces in the Euclidean -space of arbitrarily high genus and with three ends. Each member of this family is immer…
math.DG2019
An example of a minimal surface of genus one with two catenoid ends and one Enneper end
JosÉ Antonio M. Vilhena
In this paper we construct an example of a complete immersed minimal surface in of genus one with two embedded catenoid-type ends, one Enneper-type end and total Gau…