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gr-qc2025
Symmetries of extremal horizons
Alex Colling
We prove an intrinsic analogue of Hawking's rigidity theorem for extremal horizons in arbitrary dimensions: any compact cross-section of a rotating extremal horizon in a spacetime…
math.DG2025
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…