An elementary proof of Small's formula for null curves in \(\text{PSL}(2,\mathbb{C})\) and a analogue for Legendrian curves in \(\text{PSL}(2,\mathbb{C})\)

zbMath1042.53042arXivmath/0209258MaRDI QIDQ1411277

Kotaro Yamada, Masatoshi Kokubu, Masaaki Umehara

Publication date: 27 October 2003

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0209258

zbMATH Keywords

flat surfaces representation formula hyperbolic Gauss map constant mean curvature 1 hyperbolic 3-space null curve Legendrian curve secondary Gauss map

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Non-Euclidean differential geometry (53A35)

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