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SUMMARY:Quasi-Einstein structures on a surface - Alex Colling (University 
 of Cambridge)
DTSTART:20240926T103000Z
DTEND:20240926T113000Z
UID:TALK219718@talks.cam.ac.uk
DESCRIPTION:A quasi-Einstein manifold is a Riemannian manifold together wi
 th a vector field satisfying a system of equations generalising the Einste
 in equations. Special cases include the near horizon equation arising on s
 patial cross sections of\nextremal black hole horizons in general relativi
 ty\, as well as connections to projective metrizability and Einstein-Weyl 
 structures.\n&nbsp\;\nThis talk will focus on the two-dimensional case. We
  derive all axially symmetric quasi-Einstein structures on the sphere. We 
 also discuss the link to the problem of finding all projective classes tha
 t are both metrizable and skew. In two dimensions the corresponding quasi-
 Einstein structures arise as symmetry reductions of the anti-self-dual Yan
 g-Mills equations and can be identified with Hitchin equations.\n&nbsp\;\n
 &nbsp\;
LOCATION:Seminar Room 2\, Newton Institute
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