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The dynamical Alekseevskii conjecture in dimension five

Published 23 Jul 2025 in math.DG | (2507.17781v1)

Abstract: We prove the dynamical Alekseevski conjecture in dimension five. We also provide a detailed analysis of the homogeneous Ricci flows on $SO(3)\ltimes \mathbb{R}3/SO(2)$ and $SL(2,\mathbb{C})/U(1)$.

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