The third Betti number of a positively pinched riemannian six manifold
Seaman, Walter
Annales de l'Institut Fourier, Tome 36 (1986), p. 83-92 / Harvested from Numdam
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Nous démontrons que si la courbure sectionnelle K d’une variété riemannienne compacte de dimension 6 satisfait à la condition 1≥K>(410-4)/(410+23)≅.2426, alors son troisième (réel) nombre de Betti est nul.

We prove that if the sectional curvature, K, of a compact 6-manifold without boundary satisfies 1≥K>(410-4)/(410+23)≅.2426, then its third (real) Betti number is zero.

@article{AIF_1986__36_2_83_0,
     author = {Seaman, Walter},
     title = {The third Betti number of a positively pinched riemannian six manifold},
     journal = {Annales de l'Institut Fourier},
     volume = {36},
     year = {1986},
     pages = {83-92},
     doi = {10.5802/aif.1049},
     mrnumber = {87k:53096},
     zbl = {0578.53031},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_1986__36_2_83_0}
}

Seaman, Walter. The third Betti number of a positively pinched riemannian six manifold. Annales de l'Institut Fourier, Tome 36 (1986) pp. 83-92. doi : 10.5802/aif.1049. http://gdmltest.u-ga.fr/item/AIF_1986__36_2_83_0/

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