Summary
We show in this paper that for everyn≧4 there exists a closedn-dimensional manifoldV which carries a Riemannian metric with negative sectional curvatureK but which admits no metric with constant curvatureK≡−1. We also estimate the (pinching) constantsH for which our manifoldsV admit metrics with −1≧K≧−H.
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Gromov, M., Thurston, W. Pinching constants for hyperbolic manifolds. Invent Math 89, 1–12 (1987). https://doi.org/10.1007/BF01404671
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DOI: https://doi.org/10.1007/BF01404671