# On the linear stability of nearly Kähler 6-manifolds Academic Article

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### abstract

• Abstract We show that a strict, nearly Kähler 6-manifold with either second or third Betti number nonzero is linearly unstable with respect to the $$\nu$$ν-entropy of Perelman and hence is dynamically unstable for the Ricci flow.

### publication date

• February 2020