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The canonical Einstein metric on G2 is dynamically unstable under the Ricci flow

The canonical Einstein metric on G2 is dynamically unstable under the Ricci flow 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

The canonical Einstein metric on G2 is dynamically unstable under the Ricci flow

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References (20)

Publisher
Wiley
Copyright
© 2019 London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/blms.12238
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Bulletin of the London Mathematical SocietyWiley

Published: Jun 1, 2019

Keywords: ;

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