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제목 Generalised Ricci Solitons in 2 dimensions
발표자 Matthew Randall ( Masaryk University ) 날짜 2018-02-08
Host KIAS Place 1424
Abstract We introduce a class of overdetermined systems of partial differential equations on (pseudo)-Riemannian manifolds that we call the generalised Ricci soliton equations. These equations depend on three real parameters. For special values of the parameters they specialise to various important classes of equations in differential geometry. Among them there are: the Ricci soliton equations, the vacuum near-horizon geometry equations in general relativity, special cases of Einstein-Weyl equations and their projective counterparts, equations for homotheties and Killing's equation. We provide explicit examples of generalised Ricci solitons in 2 dimensions, some of them obtained using techniques developed by J. Jezierski. This is joint work with Pawel Nurowski available at arXiv:1409.4179

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