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Note on uniform visibility manifolds

Published online by Cambridge University Press:  24 October 2008

Donal Hurley
Donal Hurley
Affiliation:
Department of Mathematics, University College, Cork, Ireland
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Extract

The axiom of uniform visibility on simply connected manifolds was introduced in [8] by Eberlein and O'Neill. Using the axiom, they were able to extend to a class of simply connected manifolds of non-positive sectional curvature many results which were known to be true for the case of strictly negative curvature. The axiom proved very useful in obtaining results about the geodesic flow on manifolds of non-positive sectional curvature [3], [4].

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 98 , Issue 1 , July 1985 , pp. 73 - 80
Copyright
Copyright © Cambridge Philosophical Society 1985

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References

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