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New Components of the Moduli Space of Minimal Surfaces in 4‐Dimensional Flat Tori
Author(s) -
Shoda Toshihiro
Publication year - 2004
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610704005903
Subject(s) - torus , moduli space , minimal surface , mathematics , space (punctuation) , moduli , geometry , surface (topology) , pure mathematics , property (philosophy) , mathematical analysis , physics , computer science , quantum mechanics , operating system , philosophy , epistemology
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.