Duality between cuspidal butterflies and cuspidal singularities on maximal surfaces
We give criteria for cuspidal butterflies and cuspidal () singularities in terms of the Weierstrass data for maximal surfaces, and also show non-existence of cuspidal () singularities on maximal surfaces. Moreover, we show duality between these singularities considering the conjugate maximal surfaces each other.
DOI Code: 10.1285/i15900932v38n1p115
Keywords: maximal surface; frontal; cuspidal butterfly; cuspidal $S_k$ singularity
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