Abstract
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We show that the set of
awesome homogeneous metrics on noncompact manifolds is
Ricci flow invariant and that if the universal cover of an awesome homogeneous space
is not contractible, the Ricci flow has finite extinction time, confirming the dynamical
Alekseevskii conjecture in this case. We also analyze the long-time limits of awesome
homogeneous Ricci flows.
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Keywords
homogeneous space, Ricci flow
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Mathematical Subject Classification
Primary: 53C30, 53E20
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Milestones
Received: 29 January 2024
Revised: 26 August 2024
Accepted: 21 September 2024
Published: 30 October 2024
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| © 2024 MSP (Mathematical Sciences
Publishers). Distributed under the Creative Commons
Attribution License 4.0 (CC BY). |
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