Minimal tori in five-dimensional sphere in $C^3$

Details Minimal tori in five-dimensional sphere in $C^3$ Minimal tori in five-dimensional sphere in $C^3$

2002-04-20

arxiv.org/abs/math/0204253v1

Theor. and Math. Phys. 87(1991) No. 1, P. 48-56

Mathematics

Differential Geometry

AmSTeX, 10 pages, amsppt style

Scientific paper

Special class of surfaces in five-dimensional sphere in $C^3$ is considered.
Immersion equations for minimal tori of that class are shown to be reducible to
the equation $u_{z\bar z}=e^u-e^{-2u}$ which is integrable by means of inverse
scattering method. Finite-gap minimal tori are constructed.

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