Results 1 
4 of
4
A characterisation of the HoffmanWohlgemuth surfaces in terms of their symmetries
 J. Differential Geom
"... For an embedded singly periodic minimal surface ˜ M with genus ≥ 4 and annular ends, some weak symmetry hypotheses imply its congruence with one of the HoffmanWohlgemuth examples. We give a very geometrical proof of this fact, along which they come out many valuable clues for the understanding of ..."
Abstract

Cited by 1 (1 self)
 Add to MetaCart
For an embedded singly periodic minimal surface ˜ M with genus ≥ 4 and annular ends, some weak symmetry hypotheses imply its congruence with one of the HoffmanWohlgemuth examples. We give a very geometrical proof of this fact, along which they come out many valuable clues for the understanding of these surfaces. 1.
A CONSTRUCTION METHOD FOR TRIPLY PERIODIC MINIMAL SURFACES
"... Abstract. A uniform and elementary treatment of many classical and new embedded triply periodic minimal surfaces in Euclidean space, based on a SchwarzChristoffel formula for periodic polygons in the plane, is given. ..."
Abstract
 Add to MetaCart
Abstract. A uniform and elementary treatment of many classical and new embedded triply periodic minimal surfaces in Euclidean space, based on a SchwarzChristoffel formula for periodic polygons in the plane, is given.
Scherk Saddle Towers of Genus Two in R 3
, 906
"... In 1996 M. Traizet obtained singly periodic minimal surfaces with Scherk ends of arbitrary genus by desingularizing a set of vertical planes at their intersections. However, in Traizet’s work it is not allowed that three or more planes intersect at the same line. In our paper, by a saddletower we c ..."
Abstract
 Add to MetaCart
In 1996 M. Traizet obtained singly periodic minimal surfaces with Scherk ends of arbitrary genus by desingularizing a set of vertical planes at their intersections. However, in Traizet’s work it is not allowed that three or more planes intersect at the same line. In our paper, by a saddletower we call the desingularization of such “forbidden ” planes into an embedded singly periodic minimal surface. We give explicit examples of genus two and discuss some advances regarding this problem. Moreover, our examples are the first ones containing Gaussian geodesics, and for the first time we prove embeddedness of the surfaces CSSCFF and CSSCCC from CallahanHoffmanMeeksWohlgemuth. 1.