This page is about the statement in Riemannian geometry. For the splitting principle (in algebraic topology) see there.
On the classification of Riemannian manifolds with non-negative Ricci curvature
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, 277â€“288 (euclid:jdg/1214432794)
See also
Wikipedia, Splitting theorem
Bobby Acharya, Section 1.2 of Supersymmetry, Ricci Flat Manifolds and the String Landscape (arXiv:1906.06886)
Last revised on December 30, 2020 at 10:55:50. See the history of this page for a list of all contributions to it.