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

Seaman, Walter

doi:10.1090/S0002-9947-1990-1005083-4

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
DOI: https://doi.org/10.1090/S0002-9947-1990-1005083-4
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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