Metric flows in space forms of nonpositive curvature

Basmajian, Ara; Walschap, Gerard

doi:10.1090/S0002-9939-1995-1301009-4

Metric flows in space forms of nonpositive curvature
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by Ara Basmajian and Gerard Walschap PDF

Proc. Amer. Math. Soc. 123 (1995), 3177-3181 Request permission

Abstract:

We characterize those space forms of nonpositive curvature that admit one-dimensional Riemannian foliations. The hyperbolic ones are essentially the trivial line bundles over the flat ones. In particular, any such space admits a flat metric.

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