Adding one handle to half-plane layers

Details Adding one handle to half-plane layers Adding one handle to half-plane layers

2006-05-26

arxiv.org/abs/math/0605674v1

Mathematics

Differential Geometry

20 pages, 3 figures

Scientific paper

In this paper, we build properly embedded singly periodic minimal surfaces which have infinite total curvature in the quotient by the period. These surfaces are constructed by adding a handle to the toroidal half-plane layers defined by H. Karcher. The technics that use is to solve a Jenkins-Serrin problem over a strip domain and to consider the conjugate minimal surface to the graph.

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