论文信息 - Curvature, diameter and betti numbers

Curvature, diameter and betti numbers

We give an upper bound for the Betti numbers of a compact Riemannian manifold in terms of its diameter and the lower bound of the sectional curvatures. This estimate in particular shows that most manifolds admit no metrics of non-negative sectional curvature.

Michael Gromov | M. Gromov

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