arXiv:1512.02046 [math.DG]AbstractReferencesReviewsResources
A counterexample to the second inequality of Corollary (19.10) in the monograph "Ricci Flow and the Poincare Conjecture" by J.Morgan and G.Tian
Published 2015-12-07Version 1
We provide here a counter-example to the second inequality of Corollary (19.10) in the Clay Institute Monograph by J.Morgan and G.Tian entitled "Ricci Flow and the Poincare Conjecture". We had announced the existence of this counter-example in our paper "Five Gaps in Mathematics", Advanced Non-linear Studies, vol 15, No. 2, (2015). We make the details available here. J.Morgan and G.Tian have recently (arXiv/math/DG:1512.00699, (2015)) published a correction to their arguments in the monograph. In a forthcoming short Note, we will discuss this correction. We wish to thank John Morgan, Terry Tao and Gang Tian for having considered and discussed the validity of this counter-example.
Categories: math.DG
Keywords: poincare conjecture, second inequality, ricci flow, counterexample, clay institute monograph
Tags: monograph
Related articles: Most relevant | Search more
arXiv:1303.5193 [math.DG] (Published 2013-03-21)
From the Boltzmann $H$-theorem to Perelman's $W$-entropy formula for the Ricci flow
How to produce a Ricci Flow via Cheeger-Gromoll exhaustion
Ricci flow on surfaces with conic singularities