Multi-valued graphs in embedded constant mean curvature disks

Giuseppe Tinaglia

Multi-valued graphs in embedded constant mean curvature disks

微分几何 2007-05-23 v1

作者: Giuseppe Tinaglia

摘要

In this paper we prove that an embedded and simply connected constant mean curvature surface with curvature large at a point contains a multi-valued graph around that point on the scale of $|A|^2$ , where $|A|^2$ is the norm squared of the second fundamental form. This generalizes Colding and Minicozzi's result for minimal surfaces.

关键词

surfaces with constant mean curvature mean curvature flow surfaces and embeddings

引用

@article{arxiv.math/0409184,
  title  = {Multi-valued graphs in embedded constant mean curvature disks},
  author = {Giuseppe Tinaglia},
  journal= {arXiv preprint arXiv:math/0409184},
  year   = {2007}
}

备注

22 pages, 13 figures

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