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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Quasi-Einstein structures on a surface

## Quasi-Einstein structures on a surfaceAdd to your list(s) Download to your calendar using vCal - Alex Colling (University of Cambridge)
- Thursday 26 September 2024, 11:30-12:30
- Seminar Room 2, Newton Institute.
If you have a question about this talk, please contact nobody. TWT - Twistor theory A quasi-Einstein manifold is a Riemannian manifold together with a vector field satisfying a system of equations generalising the Einstein equations. Special cases include the near horizon equation arising on spatial cross sections ofextremal black hole horizons in general relativity, as well as connections to projective metrizability and Einstein-Weyl structures. This talk will focus on the two-dimensional case. We derive all axially symmetric quasi-Einstein structures on the sphere. Non-trivial solutions on higher genus surfaces are excluded using the Poincaré-Hopf theorem. Furthermore, we show that certain quasi-Einstein structures arise as symmetry reductions of the anti-self-dual Yang-Mills equations and can be identified with Hitchin systems. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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