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

• Autores: Toshihiro Shoda
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 70, Nº 3, 2004, págs. 797-816
• Idioma: inglés
• DOI: 10.1112/s0024610704005903
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• Resumen

  • 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.