Mathematical Journal of Okayama University 59巻 1号
2017-01 発行

Gauss maps of cuspidal edges in hyperbolic 3-space, with application to flat fronts

Ogata, Yuta Department of Mathematics, Graduate School of Science, Kobe University
Teramoto, Keisuke Department of Mathematics, Graduate School of Science, Kobe University
Publication Date
2017-01
Abstract
We study singularities of de Sitter Gauss map images of cuspidal edges in hyperbolic 3-space. We show relations between singularities of de Sitter Gauss map images and differential geometric properties of cuspidal edges. Moreover, we apply this result to flat fronts in hyperbolic 3-space.
Keywords
cuspidal edge
swallowtail
de Sitter Gauss map image
singularity
flat front