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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Existence and uniqueness of algebraic curvature tensors with prescribed properties and an application to the sphere theorem


Author: Walter Seaman
Journal: Trans. Amer. Math. Soc. 321 (1990), 811-823
MSC: Primary 53C20; Secondary 53C55
MathSciNet review: 1005083
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Abstract: An existence and uniqueness theorem is proved for algebraic curvature tensors and then applied to yield a global geometric theorem for locally weakly quarter pinched Riemannian manifolds whose second Betti number is nonzero.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1990-1005083-4
PII: S 0002-9947(1990)1005083-4
Article copyright: © Copyright 1990 American Mathematical Society