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In this note, we show that the bi‐invariant Einstein metric on the compact Lie group G2 is dynamically unstable as a fixed point of the Ricci flow. This completes the stability analysis for the bi‐invariant metrics on the compact, connected, simple Lie groups. Interestingly, G2 is the only unstable exceptional group.
Bulletin of the London Mathematical Society – Wiley
Published: Jun 1, 2019
Keywords: ;
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