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math.DG2019
Some partial differential equations and conformal surfaces of the 4-dimensional Minkowski space
Martha P. Dussan, A. P. Franco Filho, P. Simoes
This paper introduces a complex representation for spacelike surfaces in the Lorentz-Minkowski space , based in two complex valued functions which can be assumed to be holomor…
math.DG2008
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…
math.DG2008
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-…