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arXiv · 1907.12512

On the linear stability of nearly-Kähler $6$-manifolds

Changliang Wang·M. Y. -K. Wang
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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 $ν$-entropy of Perelman and hence is dynamically unstable for the Ricci flow.

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Changliang Wang, M. Y. -K. Wang. 2019-07-29. On the linear stability of nearly-Kähler $6$-manifolds. https://arxiv.org/abs/1907.12512

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