Seifert Manifolds
Geometric Topology
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0108188,
title = {Seifert Manifolds},
author = {K. B. Lee and Frank Raymond},
journal= {arXiv preprint arXiv:math/0108188},
year = {2007}
}
Comments
61 pages