双曲平面の双曲空間への等長はめ込み

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Note (General)：: 本論文では，双曲平面の双曲空間への等長はめ込みを測地線の空間の null-因果的曲線を用いて表現する．さらに，理想錐面(すなわち理想境界に頂点を持つ錐面)をそれらの平均曲率の挙動により特徴付ける．In this paper, we parametrize the space of isometric...

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Material Type: 文書・図像類
Title: 双曲平面の双曲空間への等長はめ込み
Author/Editor: 本田, 淳史
Honda, Atsufumi
Author Heading: 本田, 淳史
Honda, Atsufumi
Alternative Title: Isometric Immersions of the Hyperbolic Plane into the Hyperbolic Space
Text Language Code: eng
Subject Heading: 双曲空間
hyperbolic space
可展面
developable surface
null 曲線
null curve
ケーラーパラケーラー構造
Kaehler and para-Kaehler structure
ミニツイスター空間
minitwistor space
Target Audience: 一般
Note (General): 本論文では，双曲平面の双曲空間への等長はめ込みを測地線の空間の null-因果的曲線を用いて表現する．さらに，理想錐面(すなわち理想境界に頂点を持つ錐面)をそれらの平均曲率の挙動により特徴付ける．
In this paper, we parametrize the space of isometric immersions of the hyperbolic plane into the hyperbolic 3-space in terms of null-causal curves in the space of oriented geodesics. Moreover, we characterize ``ideal cones'' (i.e., cones whose vertices are on the ideal boundary) by behavior of their mean curvature.
identifier:oai:t2r2.star.titech.ac.jp:50122041
Data Provider (Database): 国立情報学研究所 : 学術機関リポジトリデータベース（IRDB）（機関リポジトリ）
https://irdb.nii.ac.jp
Original Data Provider (Database): 東京工業大学 : 東京工業大学リサーチリポジトリ