# Deformation and stability of surfaces with constant mean curvature

Miyuki Koiso

19 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 145-159 15 Tohoku Mathematical Journal 54 1 https://doi.org/10.2748/tmj/1113247184 出版済み - 2002 はい

• 数学 (全般)

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