New components of the Moduli space of minimal surfaces in 4-dimensional flat tori
Differential Geometry
2007-05-23 v2
Abstract
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.
Cite
@article{arxiv.math/0408052,
title = {New components of the Moduli space of minimal surfaces in 4-dimensional flat tori},
author = {Toshihiro Shoda},
journal= {arXiv preprint arXiv:math/0408052},
year = {2007}
}
Comments
22pages, 1AMSLatex-file, 1diagrams-file. to appear in Journal of the London Mathematical Society