数学科学研究所
Insitute of Mathematical Science

Seminar: The Einstein-Weyl equation in conformal geometry.

Seminar | Institute of Mathematical Sciences

Time:14:00-15:00, May 22, Wednsday

LocationRoom S407, IMS


Speaker: Matthew Randall, IMS


Abstract: Einstein-Weyl geometry has received renewed interest in recent years because of its connection to twistor theory and integrable PDEs. A result of Ferapontov and Kruglikov shows that various classes of second-order dispersionless PDEs define Einstein-Weyl structures on the conformal metric given by their principal symbols. As an overdetermined system of PDEs the Einstein-Weyl equation asks for a Weyl connection or a 1-form that preserves the conformal metric and that the symmetrised Ricci tensor of the Weyl connection be proportional to the metric. It can be seen that this equation naturally generalises the conformal-to-Einstein condition. I will review and talk more about the Einstein-Weyl equation in the context of conformal differential geometry. 


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邮编:201210
上海市徐汇区岳阳路319号8号楼
200031(岳阳路校区)