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

Ruslan Sharipov

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

Differential Geometry 2007-05-23 v1 Mathematical Physics Algebraic Geometry math.MP

Authors: Ruslan Sharipov

Abstract

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.

Keywords

minimal surfaces lagrangian tori surfaces and embeddings

Cite

@article{arxiv.math/0204253,
  title  = {Minimal tori in five-dimensional sphere in $C^3$},
  author = {Ruslan Sharipov},
  journal= {arXiv preprint arXiv:math/0204253},
  year   = {2007}
}

Comments

AmSTeX, 10 pages, amsppt style

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