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  1. D200 大学院多元数理科学研究科
  2. D200a 雑誌掲載論文
  3. 学術雑誌

Behavior of the Gaussian curvature of timelike minimal surfaces with singularities

http://hdl.handle.net/2237/00031649
3f3826ca-cb2b-4538-b3c0-f179be5dd522
名前 / ファイル ライセンス アクション
2017-784_S_Akamine.pdf 2017-784_S_Akamine (1.6 MB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2020-03-16
タイトル
タイトル Behavior of the Gaussian curvature of timelike minimal surfaces with singularities
著者 AKAMINE, Shintaro

× AKAMINE, Shintaro

WEKO 96809

AKAMINE, Shintaro

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キーワード
主題Scheme Other
主題 Lorentz-Minkowski space
キーワード
主題Scheme Other
主題 timelike minimal surface
キーワード
主題Scheme Other
主題 Gaussian curvature
キーワード
主題Scheme Other
主題 wave front
キーワード
主題Scheme Other
主題 singularity
抄録
内容記述 We prove that the sign of the Gaussian curvature, which is closely related to the diagonalizability of the shape operator, of any timelike minimal surface in the 3-dimensional Lorentz-Minkowski space is determined by the degeneracy and the signs of the two null regular curves that generate the surface. We also investigate the behavior of the Gaussian curvature near singular points of a timelike minimal surface with some kinds of singular points, which is called a minface. In particular we determine the sign of the Gaussian curvature near any non-degenerate singular point of a minface.
内容記述タイプ Abstract
出版者
出版者 Hokkaido University, Department of Mathematics
言語
言語 eng
資源タイプ
資源タイプresource http://purl.org/coar/resource_type/c_6501
タイプ journal article
DOI
関連識別子
識別子タイプ DOI
関連識別子 https://doi.org/10.14492/hokmj/1573722017
ISSN(print)
収録物識別子タイプ ISSN
収録物識別子 0385-4035
書誌情報 Hokkaido Mathematical Journal

巻 48, 号 3, p. 537-568, 発行日 2019
著者版フラグ
値 author
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