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Seaman, Walter
The third Betti number of a positively pinched riemannian six manifold. Annales de l'institut Fourier, 36 no. 2 (1986), p. 83-92
Full text djvu | pdf | Reviews MR 87k:53096 | Zbl 0578.53031

stable URL: http://www.numdam.org/item?id=AIF_1986__36_2_83_0

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Abstract

We prove that if the sectional curvature, $K$, of a compact 6-manifold without boundary satisfies $1\ge K>(4\sqrt{10}- 4)/(4\sqrt{10}+23)\cong.2426,$ then its third (real) Betti number is zero.

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