### Abstract

We announce results giving constraints on the singularities of spaces which are Gromov-Hausdorff limits of sequences of Riemannian manifolds whose Ricci curvature and volume are bounded from below and whose curvature tensor is bounded in an integral sense.

Original language | English (US) |
---|---|

Pages (from-to) | 645-649 |

Number of pages | 5 |

Journal | Comptes Rendus de l'Academie des Sciences - Series I: Mathematics |

Volume | 324 |

Issue number | 6 |

State | Published - Mar 1997 |

### Fingerprint

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Comptes Rendus de l'Academie des Sciences - Series I: Mathematics*,

*324*(6), 645-649.

**Constraints on singularities under Ricci curvature bounds.** / Cheeger, Jeff; Colding, Tobias H.; Tian, Gang.

Research output: Contribution to journal › Article

*Comptes Rendus de l'Academie des Sciences - Series I: Mathematics*, vol. 324, no. 6, pp. 645-649.

}

TY - JOUR

T1 - Constraints on singularities under Ricci curvature bounds

AU - Cheeger, Jeff

AU - Colding, Tobias H.

AU - Tian, Gang

PY - 1997/3

Y1 - 1997/3

N2 - We announce results giving constraints on the singularities of spaces which are Gromov-Hausdorff limits of sequences of Riemannian manifolds whose Ricci curvature and volume are bounded from below and whose curvature tensor is bounded in an integral sense.

AB - We announce results giving constraints on the singularities of spaces which are Gromov-Hausdorff limits of sequences of Riemannian manifolds whose Ricci curvature and volume are bounded from below and whose curvature tensor is bounded in an integral sense.

UR - http://www.scopus.com/inward/record.url?scp=0031094001&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031094001&partnerID=8YFLogxK

M3 - Article

VL - 324

SP - 645

EP - 649

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

SN - 1631-073X

IS - 6

ER -