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Lower curvature bounds, Toponogov’s theorem, and bounded topology. II. (English) Zbl 0651.53031

This is a continuation of Part I [ibid. 18, 651-670 (1985; Zbl 0595.53043)]. In the present paper, the author improves Gromov’s “Betti number theorem” in [M. Gromov, Comment. Math. Helv. 56, 179-195 (1981; Zbl 0467.53021)] and extends it to non compact asymptotically nonnegatively curved manifolds.
Reviewer: K.Grove

MSC:

53C20 Global Riemannian geometry, including pinching
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References:

[1] U. ABRESCH , Lower curvature bounds, Toponogov’s theorem and bounded topology, I (Ann. Scient. Ec. Norm. Sup., Vol. 19, 1985 , pp. 651 à 670). Numdam | MR 87j:53058 | Zbl 0595.53043 · Zbl 0595.53043
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