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Cheeger-Gromoll splitting theorem

Contents

This page is about the statement in Riemannian geometry. For the splitting principle (in algebraic topology) see there.


Contents

Idea

On the classification of Riemannian manifolds with non-negative Ricci curvature

References

  • Jeff Cheeger, Detlef Gromoll, The splitting theorem for manifolds of nonnegative Ricci curvature, J. Differential Geom. Volume 6, Number 1 (1971), 119-128 (euclid:1214430220)

  • Arthur E. Fischer, Joseph A. Wolf, The structure of compact Ricci-flat Riemannian manifolds J. Differential Geom. 10 (1975), no. 2, 277–288 (euclid:jdg/1214432794)

See also

Last revised on December 30, 2020 at 05:55:50. See the history of this page for a list of all contributions to it.