The third Betti number of a positively pinched riemannian six manifold

Seaman, Walter. "The third Betti number of a positively pinched riemannian six manifold." Annales de l'institut Fourier 36.2 (1986): 83-92. <http://eudml.org/doc/74718>.

@article{Seaman1986,
abstract = {We prove that if the sectional curvature, $K$, of a compact 6-manifold without boundary satisfies $1\ge K&gt;(4\sqrt\{10\}- 4)/(4\sqrt\{10\}+23)\cong .2426,$ then its third (real) Betti number is zero.},
author = {Seaman, Walter},
journal = {Annales de l'institut Fourier},
keywords = {sectional curvature; Betti number},
language = {eng},
number = {2},
pages = {83-92},
publisher = {Association des Annales de l'Institut Fourier},
title = {The third Betti number of a positively pinched riemannian six manifold},
url = {http://eudml.org/doc/74718},
volume = {36},
year = {1986},
}

TY - JOUR
AU - Seaman, Walter
TI - The third Betti number of a positively pinched riemannian six manifold
JO - Annales de l'institut Fourier
PY - 1986
PB - Association des Annales de l'Institut Fourier
VL - 36
IS - 2
SP - 83
EP - 92
AB - We prove that if the sectional curvature, $K$, of a compact 6-manifold without boundary satisfies $1\ge K&gt;(4\sqrt{10}- 4)/(4\sqrt{10}+23)\cong .2426,$ then its third (real) Betti number is zero.
LA - eng
KW - sectional curvature; Betti number
UR - http://eudml.org/doc/74718
ER -