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渐近柱形梯度收缩里奇孤立子的唯一性

微分几何 2014-12-23 v4

作者: Giovanni Catino , Alix Deruelle , Lorenzo Mazzieri

在 arXiv 上查看 ↗ PDF ↗

摘要

本文证明任何渐近柱形梯度收缩里奇孤立子均与柱面等距。

关键词

梯度收缩里奇孤立子渐近柱形唯一性等距于柱面里奇流

引用

@article{arxiv.1311.7499,
  title  = {Uniqueness of asymptotically cylindrical gradient shrinking Ricci solitons},
  author = {Giovanni Catino and Alix Deruelle and Lorenzo Mazzieri},
  journal= {arXiv preprint arXiv:1311.7499},
  year   = {2014}
}

备注

There is a gap in the proofs of Theorem 4.2 and 5.3 due to the lack of Schauder estimates for the weighted laplacian