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
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4维平面圆环中极小曲面模空间的新分量

DOI:
10.1112/s0024610704005903
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发表时间:
2004
期刊:
Journal of the London Mathematical Society
影响因子:
--
通讯作者:
T. Shoda
T. Shoda
中科院分区:
--
文献类型:
--
作者:
T. Shoda

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本文考虑了平面 4 环极小曲面模空间关键空间的新分量并计算了它们的尺寸。构建了 4 环面中最小曲面的示例,并获得了模元素。在构造过程中,给出了一个与经典例子不同的3-环面中具有良好性质的极小曲面的例子。
The paper considers new components of a key space of a moduli space of minimal surfaces in flat 4‐tori and calculates their dimensions. An example of minimal surfaces in 4‐tori is constructed, and an element of the moduli is obtained. In the process of construction, an example is given of minimal surfaces with a good property in a 3‐torus that is distinct from classical examples.