Deformation and stability of surfaces with constant mean curvature

研究成果: Contribution to journalArticle査読

17 被引用数 (Scopus)

抄録

For a CMC immersion from a two-dimensional compact smooth manifold with boundary into the Euclidean three-space, we give sufficient conditions under which it has a CMC deformation fixing the boundary. Moreover, we give a criterion of the stability for CMC immersions. Both of these are achieved by using the properties of eigenvalues and eigenfunctions of an eigenvalue problem associated to the second variation of the area functional. In a certain special case, by combining these results, we obtain a ‘visible’ way of judging the stability.

本文言語英語
ページ(範囲)145-159
ページ数15
ジャーナルTohoku Mathematical Journal
54
1
DOI
出版ステータス出版済み - 2002
外部発表はい

All Science Journal Classification (ASJC) codes

  • 数学 (全般)

フィンガープリント

「Deformation and stability of surfaces with constant mean curvature」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル