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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Metric flows in space forms of nonpositive curvature


Authors: Ara Basmajian and Gerard Walschap
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
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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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DOI: https://doi.org/10.1090/S0002-9939-1995-1301009-4
Keywords: Flows, hyperbolic space
Article copyright: © Copyright 1995 American Mathematical Society