Maciej Dunajski (University of Cambridge) "Quasi Einstein Metrics on Surfaces"

Maciej Dunajski (University of Cambridge)
"Quasi Einstein Metrics on Surfaces"
Abstract: We prove that the intrinsic Riemannian geometry of compact cross-sections of any Einstein extremal horizon must admit a Killing vector field. This extremal horizon is a special case of a quasi-Einstein structure. We shall discuss another global example of such structures corresponding to projective metrizability.