Special Weingarten surfaces foliated by circles

Rafael López

Special Weingarten surfaces foliated by circles

微分几何 2007-05-23 v1

作者: Rafael López

摘要

In this paper we study surfaces in Euclidean 3-space foliated by pieces of circles and that satisfy a Weingarten condition of type $a H+b K=c$ , where $a,b$ and $c$ are constant and $H$ and $K$ denote the mean curvature and the Gauss curvature respectively. We prove that a such surface must be a surface of revolution, a Riemann minimal surface or a generalized cone.

关键词

surfaces with constant mean curvature differential geometry of surfaces and curves in euclidean space surface theory

引用

@article{arxiv.math/0607749,
  title  = {Special Weingarten surfaces foliated by circles},
  author = {Rafael López},
  journal= {arXiv preprint arXiv:math/0607749},
  year   = {2007}
}

备注

17 pages

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