### 抄録

In [3] M. Gromov introduced the concept of convergence of Riemannian manifolds and he proved the convergence theorem. Since that time the theorem has been developed in detail (see [5], [7], [2]), and we know that it contains some interesting applications. Nevertheless there seems to be an inadequate way of applying the convergence theorem. The purpose of this paper is to present an example which shows that it is not correct.

元の言語 | 英語 |
---|---|

ページ（範囲） | 491-494 |

ページ数 | 4 |

ジャーナル | Proceedings of the American Mathematical Society |

巻 | 108 |

発行部数 | 2 |

DOI | |

出版物ステータス | 出版済み - 1 1 1990 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Applied Mathematics

### これを引用

**A remark on the gromov convergence theorem.** / Otsu, Yukio.

研究成果: ジャーナルへの寄稿 › 記事

*Proceedings of the American Mathematical Society*, 巻. 108, 番号 2, pp. 491-494. https://doi.org/10.1090/S0002-9939-1990-0990431-7

}

TY - JOUR

T1 - A remark on the gromov convergence theorem

AU - Otsu, Yukio

PY - 1990/1/1

Y1 - 1990/1/1

N2 - In [3] M. Gromov introduced the concept of convergence of Riemannian manifolds and he proved the convergence theorem. Since that time the theorem has been developed in detail (see [5], [7], [2]), and we know that it contains some interesting applications. Nevertheless there seems to be an inadequate way of applying the convergence theorem. The purpose of this paper is to present an example which shows that it is not correct.

AB - In [3] M. Gromov introduced the concept of convergence of Riemannian manifolds and he proved the convergence theorem. Since that time the theorem has been developed in detail (see [5], [7], [2]), and we know that it contains some interesting applications. Nevertheless there seems to be an inadequate way of applying the convergence theorem. The purpose of this paper is to present an example which shows that it is not correct.

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UR - http://www.scopus.com/inward/citedby.url?scp=84968502750&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1990-0990431-7

DO - 10.1090/S0002-9939-1990-0990431-7

M3 - Article

VL - 108

SP - 491

EP - 494

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 2

ER -