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

• Ogata Yuta

• Teramoto Keisuke

抄録

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.

収録刊行物

• Mathematical Journal of Okayama University

  Mathematical Journal of Okayama University 59 (1), 93-111, 2017-01

  Department of Mathematics, Faculty of Science, Okayama University

キーワード

• cuspidal edge
• swallowtail
• de Sitter Gauss map image
• singularity
• flat front

詳細情報

• CRID: 1390853649753398528
• NII論文ID: 120005898810
• NII書誌ID: AA00723502
• ISSN: 00301566
• DOI: 10.18926/mjou/54716
• Web Site: https://ousar.lib.okayama-u.ac.jp/54716
• 本文言語コード: en
• データソース種別:
  • JaLC
  • IRDB
  • CiNii Articles