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渐近非负曲率流形的拓扑有限性

微分几何 2009-05-07 v2 几何拓扑

作者: Nader Yeganefar

在 arXiv 上查看 ↗ PDF ↗

摘要

我们证明，满足某些一致欧几里得型体积增长条件的一类渐近非负曲率流形（在 Abresch 意义下）仅包含有限多个同胚类型。

关键词

渐近非负曲率拓扑有限性体积增长同胚类型黎曼流形

引用

@article{arxiv.0904.1941,
  title  = {Topological finiteness for asymptotically nonnegatively curved manifolds},
  author = {Nader Yeganefar},
  journal= {arXiv preprint arXiv:0904.1941},
  year   = {2009}
}

备注

The uniform bound on R, claimed at the end of page 7, is not justified. Therefore, this paper has been withdrawn by the author