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Seifert Manifolds

几何拓扑 2007-05-23 v1

摘要

A Seifert manifold is a 3-dimensional manifold with a circle action. It is a circle bundle (with singularities) over a 2-dimensional orbifold. In this note, we discuss a generalized Seifert manifolds. By definition, they have bundle-like structures whose fibers are infra- homogeneous spaces; that is, the fibers are flat manifolds, almost flat manifolds, etc. We prove existence, uniqueness, rigidity theorems. Many interesting properties and applications are presented.

关键词

引用

@article{arxiv.math/0108188,
  title  = {Seifert Manifolds},
  author = {K. B. Lee and Frank Raymond},
  journal= {arXiv preprint arXiv:math/0108188},
  year   = {2007}
}

备注

61 pages