Constraints on singularities under Ricci curvature bounds

Jeff Cheeger; Tobias H. Colding; Gang Tian

doi:10.1016/S0764-4442(97)86982-0

Constraints on singularities under Ricci curvature bounds

Jeff Cheeger, Tobias H. Colding, Gang Tian

Mathematics

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

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
DOIs	https://doi.org/10.1016/S0764-4442(97)86982-0
State	Published - Mar 1997

All Science Journal Classification (ASJC) codes

General Mathematics

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@article{7d4fc2e475804f9ea86e5bf03ef7428a,

title = "Constraints on singularities under Ricci curvature bounds",

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.",

author = "Jeff Cheeger and Colding, \{Tobias H.\} and Gang Tian",

note = "Funding Information: {\textquoteleft}:{\textquoteright} Supported in part by NSF Grant DMS 9303YY9. {\textquoteright} Supported in part by NSF Grant DMS Y3039YY.",

year = "1997",

month = mar,

doi = "10.1016/S0764-4442(97)86982-0",

language = "English (US)",

volume = "324",

pages = "645--649",

journal = "Comptes Rendus de l'Academie des Sciences - Series I: Mathematics",

issn = "0764-4442",

publisher = "Academie des sciences",

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T1 - Constraints on singularities under Ricci curvature bounds

AU - Cheeger, Jeff

AU - Colding, Tobias H.

AU - Tian, Gang

N1 - Funding Information: ‘:’ Supported in part by NSF Grant DMS 9303YY9. ’ Supported in part by NSF Grant DMS Y3039YY.

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 - https://www.scopus.com/pages/publications/0031094001

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

U2 - 10.1016/S0764-4442(97)86982-0

DO - 10.1016/S0764-4442(97)86982-0

M3 - Article

AN - SCOPUS:0031094001

SN - 0764-4442

VL - 324

SP - 645

EP - 649

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

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

IS - 6

ER -

Constraints on singularities under Ricci curvature bounds

Abstract

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