On the linear stability of nearly-Kähler -manifolds
arXiv:1907.12512
Abstract
We show that a strict, nearly Kähler -manifold with either second or third Betti number nonzero is linearly unstable with respect to the -entropy of Perelman and hence is dynamically unstable for the Ricci flow.
18 pages. There will be a different paper with an alternative proof that is joint with Uwe Semmelmann