Quartic differentials and harmonic maps in conformal surface geometry
نویسندگان
چکیده
We consider codimension 2 sphere congruences in pseudo-conformal geometry that are harmonic with respect to the conformal structure of an orthogonal surface. characterise surfaces such as either $S$-Willmore surfaces, quasi-umbilical constant mean curvature 3-dimensional space forms or lightlike lightcones. then investigate Bryant's quartic differential this context and show generically is divergence free if only surface under consideration superconformal a congruence spheres. may apply previous result property.
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ژورنال
عنوان ژورنال: Annali della Scuola normale superiore di Pisa. Classe di scienze
سال: 2022
ISSN: ['0391-173X', '2036-2145']
DOI: https://doi.org/10.2422/2036-2145.202007_112