Construction of higher genus embedded minimal surfaces. (English) Zbl 0737.53007

Karcher, Hermann

Geometry and topology III, Proc. Workshop, Leeds/UK 1990, 174-191 (1991).

[For the entire collection see Zbl 0724.00015.]
The author analyses the known examples of embedded minimal surfaces in 3- space, and obtaines a number of natural questions about them. He then discusses the adding of handles to complete minimal surfaces, in particular to triply periodic ones.

Reviewer: D.Ferus (Berlin)

MSC:

53A10	Minimal surfaces in differential geometry, surfaces with prescribed mean curvature
53C42	Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)

Keywords:

finite topology; finite total curvature; symmetry groups; periodic minimal surfaces; adding handles