Duality between cuspidal butterflies and cuspidal $S_1^-$ singularities on maximal surfaces

Authors

  • Yuta Ogata
  • Keisuke Teramoto

DOI:

https://doi.org/10.1285/i15900932v38n1p115

Keywords:

maximal surface, frontal, cuspidal butterfly, cuspidal $S_k$ singularity

Abstract

We give criteria for cuspidal butterflies and cuspidal $S_1^-$ ($cS_1^-$) singularities in terms of the Weierstrass data for maximal surfaces, and also show non-existence of cuspidal $S_1^+$ ($cS_1^+$) singularities on maximal surfaces. Moreover, we show duality between these singularities considering the conjugate maximal surfaces each other.

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Published

23-05-2018

Issue

Volume 38, Issue 1 (2018)

Section

Articoli

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http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode