A splitting theorem for manifolds of almost nonnegative Ricci curvature

MingLiang Cai

Research output: Contribution to journal › Article

5 Citations (Scopus)

Abstract

Cheeger and Gromoll proved that a closed Riemannian manifold of nonnegative Ricci curvature is, up to a finite cover, diffeomorphic to a direct product of a simply connected manifold and a torus. In this paper, we extend this theorem to manifolds of almost nonnegative Ricci curvature.

Original languageEnglish (US)
Pages (from-to)373-385
Number of pages13
JournalAnnals of Global Analysis and Geometry
Volume11
Issue number4
DOIs
StatePublished - Nov 1 1993

Fingerprint

Nonnegative Curvature
Ricci Curvature
Direct Product
Theorem
Riemannian Manifold
Torus
Cover
Closed

Keywords

  • Manifolds of almost nonnegative Ricci curvature
  • MSC 1991: 53C20
  • splitting

ASJC Scopus subject areas

  • Analysis
  • Political Science and International Relations
  • Geometry and Topology

Cite this

A splitting theorem for manifolds of almost nonnegative Ricci curvature. / Cai, MingLiang.

In: Annals of Global Analysis and Geometry, Vol. 11, No. 4, 01.11.1993, p. 373-385.

Research output: Contribution to journal › Article

Cai, M 1993, 'A splitting theorem for manifolds of almost nonnegative Ricci curvature', Annals of Global Analysis and Geometry, vol. 11, no. 4, pp. 373-385. https://doi.org/10.1007/BF00773552
Cai M. A splitting theorem for manifolds of almost nonnegative Ricci curvature. Annals of Global Analysis and Geometry. 1993 Nov 1;11(4):373-385. https://doi.org/10.1007/BF00773552
Cai, MingLiang. / A splitting theorem for manifolds of almost nonnegative Ricci curvature. In: Annals of Global Analysis and Geometry. 1993 ; Vol. 11, No. 4. pp. 373-385.
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