Adding one handle to half-plane layers
نویسنده
چکیده
In this paper, we build properly embedded singly periodic minimal surfaces which have infinite total curvature in the quotient by their period. These surfaces are constructed by adding a handle to the toroidal half-plane layers defined by H. Karcher. The technics that we 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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