SMYTH SURFACES AND THE DREHRISS

Proceedings of the Edinburgh Mathematical Society

John M. Burns¹ 

[1] Michael J. Clancy

关键词: Primary 3A10;    surfaces;    constant mean curvature;    isometric deformations;    Delaunay;   

DOI  :  10.1017/S0013091504000598

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

Isometric deformations of immersed surfaces in Euclidean 3-space are studied by means of the drehriss. When the immersion is of constant mean curvature and the deformation preserves the mean curvature, we determine the drehriss explicitly in terms of the immersion and its Gauss map. These methods are applied to obtain an alternative classification of the Smyth surfaces, i.e. constant mean curvature immersions of the plane into Euclidean 3-space which admit the action of $S^1$ as a non-trivial group of internal isometries.

【 授权许可】

Unknown