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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Simply connected manifolds with no conjugate points which are flat outside a compact set


Author: Christopher B. Croke
Journal: Proc. Amer. Math. Soc. 111 (1991), 297-298
MSC: Primary 53C20
MathSciNet review: 1039254
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Abstract: In this note we improve a previous result to show that euclidean $ n$-space $ (n \geq 3)$ is the only simply connected manifold without conjugate points which is flat outside a compact set.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1991-1039254-4
PII: S 0002-9939(1991)1039254-4
Article copyright: © Copyright 1991 American Mathematical Society