A ramification theorem for the ratio of canonical forms of flat surfaces in hyperbolic three-space

• 川上, 裕

  山口大学大学院理工学研究科 : 講師

抄録

We provide an effective ramification theorem for the ratio of canonical forms of a weakly complete flat front in the hyperbolic three-space. Moreover we give the two applications of this theorem, the first one is to show an analogue of the Ahlfors islands theorem for it and the second one is to give a simple proof of the classification of complete nonsingular flat surfaces in the hyperbolic three-space.

収録刊行物

• Geometriae Dedicata

  Geometriae Dedicata 2013-08

  Springer Netherlands

キーワード

• flat front
• weakly complete
• ramification theorem
• he Ahlfors islands theorem
• Bernstein type theorem
• Primary 30D35
• 53A35
• Secondary 53C42

詳細情報

• CRID: 1050861482658367232
• NII論文ID: 120005315152
• NII書誌ID: AA0065688X
• HANDLE: 2324/20095
• 本文言語コード: en
• 資料種別: journal article
• データソース種別:
  • IRDB
  • CiNii Articles