Spheres with locally pinched metrics

Currier, Robert J.

doi:10.1090/S0002-9939-1989-0969517-0

Spheres with locally pinched metrics
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by Robert J. Currier PDF

Proc. Amer. Math. Soc. 106 (1989), 803-805 Request permission

Abstract:

The purpose of this paper is the construction of metrics on spheres whose curvatures are locally almost constant but which have large variation globally. This construction also applies to spherical space forms.

References

The incorrectness of Schur’s theorem

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