文書・図像類

双曲平面の双曲空間への等長はめ込み

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双曲平面の双曲空間への等長はめ込み

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文書・図像類
Author
本田, 淳史ほか
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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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Paper

Material Type
文書・図像類
Author/Editor
本田, 淳史
Honda, Atsufumi
Alternative Title
Isometric Immersions of the Hyperbolic Plane into the Hyperbolic Space
Text Language Code
eng
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
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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)