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.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 3177-3181
- MSC: Primary 53C20; Secondary 53C21
- DOI: https://doi.org/10.1090/S0002-9939-1995-1301009-4
- MathSciNet review: 1301009