New components of the Moduli space of minimal surfaces in 4-dimensional flat tori

Details New components of the Moduli space of minimal surfaces in 4-dimensional flat tori New components of the Moduli space of minimal surfaces in 4-dimensional flat tori

2004-08-04

arxiv.org/abs/math/0408052v2

Mathematics

Differential Geometry

22pages, 1AMSLatex-file, 1diagrams-file. to appear in Journal of the London Mathematical Society

Scientific paper

In this paper, we consider new components of the key space of the Moduli space of minimal surfaces in flat 4-tori and calculate their dimensions. Moreover, we construct an example of minimal surfaces in 4-tori and obtain an element of the Moduli. In the process of the construction, we give an example of minimal surfaces with good property in a 3-torus distinct from classical examples.

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