Characterization of flat foliations
DOI:
https://doi.org/10.15407/dopovidi2014.12.012Keywords:
closed manifold, flat foliations, nonnegative Ricci curvatureAbstract
We show that a codimension one C2-foliation of nonnegative Ricci curvature on a closed manifold M, whose leaves have finitely generated fundamental group, is flat if and only if M is a K(π, 1)-manifold.
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