The claimed bound Ric(A,∇, τ) ≥ γ in Theorem 10.6 in our paper  is unfortunately incorrect, as pointed out in . A small modification of the proof shows that the weaker estimate Ric(A,∇, τ) ≥ γ 2 holds. This bound can be obtained by replacing (10.5) by the following computation, using the scalar inequalities (formula presented)On thematrix algebraMn(C), it is possible to improve the curvature bound γ/2 to γ/2 (1+ 1 n ), using the scalar inequality ∂1^(a, b) + ∂2^(a, b) ≥ 1 ≥ 1 n ^(a, b) for 0 < a, b ≤ n. We thank Michael Brannan and Li Gao and Marius Junge for pointing out the error, and Melchior Wirth and Haonan Zhang for useful discussions.
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics