Fe b 20 00 EINSTEIN MANIFOLDS OF NON-NEGATIVE SECTIONAL CURVATURE AND ENTROPY

  • GABRIEL P. PATERNAIN, JIMMY PETEAN
  • Published 2008
We show that if (M, g) is a closed simply connected Einstein manifold of non-negative curvature then − log R ≤ π √ n−1 (n−2) 2 where R is the radius of convergence of the series ∑ i≥2 dim (πi(M) ⊗ Q)t. If we suppose in addition that M is formal then we show that: dim H∗(M, Q) ≤ [