Minimal tori in five-dimensional sphere in C³

2002/04/20 by Ruslan Sharipov
Mathematics · Physics and Astronomy · #math.DG #math-ph #math.AG #math.MP #msc:53A10 #msc:35Q53 #msc:14H70

paper · pdf

published as Theor. and Math. Phys. 87(1991) No. 1, P. 48-56 · AmSTeX, 10 pages, amsppt style

arxiv created 2002/04/20 · arxiv updated 2009/11/30

Abstract

Special class of surfaces in five-dimensional sphere in C³ is considered. Immersion equations for minimal tori of that class are shown to be reducible to the equation u_{z z}=e^u-e^-2u which is integrable by means of inverse scattering method. Finite-gap minimal tori are constructed.

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