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20242026
most citedNew quasi-Einstein metrics on a two-sphere

2 citations · 2 across the 2 of their papers we have counts for

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math.DG2026

Quasi-Einstein structures and Hitchin's equations

Alex Colling, Maciej Dunajski

We prove (Theorem 1.1.) that a class of quasi-Einstein structures on closed manifolds must admit a Killing vector field. This extends the rigidity theorem obtained in \cite{DL23} f…

math.DG2026★ 2 cited

New quasi-Einstein metrics on a two-sphere

Alex Colling, Maciej Dunajski, Hari Kunduri +1

We construct all axi-symmetric non-gradient -quasi-Einstein structures on a two-sphere. This includes the spatial cross-section of the extreme Kerr black hole horizon correspond…

math.DG2025

Conformally Kähler structures

Maciej Dunajski, A. Rod Gover

We establish a one-to-one correspondence between Kähler metrics in a given conformal class and parallel sections of a certain vector bundle with conformally invariant connection,…