The minimal surfaces over the slanted half-planes, vertical strips and single slit

Details The minimal surfaces over the slanted half-planes, vertical strips and single slit The minimal surfaces over the slanted half-planes, vertical strips and single slit

2012-04-13

arxiv.org/abs/1204.2890v1

Mathematics

Complex Variables

18 pages (including 26 figures), with a journal

Scientific paper

In this paper, we discuss the minimal surfaces over the slanted half-planes, vertical strips, and single slit whose slit lies on the negative real axis. The representation of these minimal surfaces and the corresponding harmonic mappings are obtained explicitly. Finally, we illustrate the harmonic mappings of each of these cases together with their minimal surfaces pictorially with the help of mathematica.

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