The spinor representation of CMC 1 surfaces in hyperbolic space


Abstract


We review and comment on some aspects of the spinor representation for constant mean curvature one surfaces in hyperbolic space developed by Bobenko–Pavlyukevich–Springborn in [1]. The relations with the Bryant representation are addressed and some examples are discussed.

DOI Code: 10.1285/i15900932v28n1supplp317

Keywords: Bryant surfaces; constant mean curvature one surfaces; isotropic curves; moving frames; spinor fields

Classification: 53A10

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