The Spinor Representation of Minimal Surfaces

@inproceedings{Kusner1995TheSR,
  title={The Spinor Representation of Minimal Surfaces},
  author={Rob Kusner},
  year={1995}
}
The spinor representation is developed and used to investigate minimal surfaces in R with embedded planar ends. The moduli spaces of planar-ended minimal spheres and real projective planes are determined, and new families of minimal tori and Klein bottles are given. These surfaces compactify in S to yield surfaces critical for the Möbius invariant squared mean curvature functional W . On the other hand, all Wcritical spheres and real projective planes arise this way. Thus we determine at the… CONTINUE READING

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