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


The soul at infinity in dimension $ 4$

Author: Gerard Walschap
Journal: Proc. Amer. Math. Soc. 112 (1991), 563-567
MSC: Primary 53C21
MathSciNet review: 1049852
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Abstract: It is shown that $ 4$-dimensional open manifolds with nonnegative sectional curvature whose fibers are totally geodesic are metrically rigid. For arbitrary dimension, one also concludes that the curvature is in a sense maximal at the soul.

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PII: S 0002-9939(1991)1049852-X
Keywords: Riemannian submersion, soul
Article copyright: © Copyright 1991 American Mathematical Society