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NEW COMPONENTS OF THE MODULI SPACE OF MINIMAL SURFACES IN 4-DIMENSIONAL FLAT TORI

Published online by Cambridge University Press:  03 December 2004

TOSHIHIRO SHODA
TOSHIHIRO SHODA
Affiliation:
Department of Mathematics, Tokyo Institute of Technology, 2-12-1 Oh-okayama, Meguro-ku, Tokyo 152-8551, Japantshoda@math.titech.ac.jp
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Abstract

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.

Keywords

49Q0553A10

Information

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 70 , Issue 3 , December 2004 , pp. 797 - 816
Copyright
The London Mathematical Society 2004

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