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math.DG2009★ 4 cited
Saddle towers in H^2 x R
Filippo Morabito, M. Magdalena Rodriguez
Given k>=2, we construct a (2k-2)-parameter family of properly embedded minimal surfaces in H^2 x R invariant by a vertical translation T, called Saddle Towers, which have total in…
math.DG2008
An end-to-end-construction for singly periodic minimal surfaces
Laurent Hauswirth, Filippo Morabito, Magdalena Rodriguez
We show the existence of various families of properly embedded singly periodic minimal surfaces in R^3 with finite arbitrary genus and Scherk type ends in the quotient. The proof o…
math.DG2008★ 5 cited
Index and nullity of the Gauss map of the Costa-Hoffman-Meeks surfaces
Filippo Morabito
The aim of this work is to extend the results of S. Nayatani about the index and the nullity of the Gauss map of the Costa-Hoffman-Meeks surfaces for values of the genus bigger tha…