13 citations · 13 across the 5 of their papers we have counts for
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The doubly periodic Scherk-Costa surfaces
Valerio Ramos-Batista, Kelly Lubeck
We present a new family of embedded doubly periodic minimal surfaces, of which the symmetry group does not coincide with any other example known before.
Solving period problems for minimal surfaces with the support function
Valerio Ramos-Batista, Frank Baginski
In this paper we show how to bypass the usual difficulties in the analysis of elliptic integrals that arise when solving period problems for minimal surfaces. The method consists o…
Triply periodic minimal surfaces which converge to the Hoffman-Wohlgemuth example
Valerio Ramos-Batista, Plinio Simoes
We get a continuous one-parameter new family of embedded minimal surfaces, of which the period problems are two-dimensional. Moreover, one proves that it has Scherk second surface…
A limit-method for solving period problems on minimal surfaces
Valerio Ramos-Batista, Kelly Lubeck
We introduce a new technique to solve period problems on minimal surfaces called limit-method. If a family of surfaces has Weierstrass-data converging to the data of a known exampl…
A characterisation of the Hoffman-Wohlgemuth surfaces in terms of their symmetries
Valerio Ramos-Batista, Plinio Simoes
For an embedded singly periodic minimal surface M with genus bigger than or equal to 4 and annular ends, some weak symmetry hypotheses imply its congruence with one of the Hoffman-…