The Spinor Representation of Minimal Surfaces
نویسنده
چکیده
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 same time the moduli spaces of W-critical spheres and real projective planes via the spinor representation. The Spinor Representation of Minimal Surfaces 1
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