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SUMMARY:Conformal transformation groups of Lorentzian manifolds - Karin Me
 lnick (Université du Luxembourg)
DTSTART:20240906T090000Z
DTEND:20240906T100000Z
UID:TALK219880@talks.cam.ac.uk
DESCRIPTION:By the celebrated theorem of Ferrand and Obata from 1971\, the
  conformalgroup of a closed Riemannian manifold M is compact\, unless M is
  conformally equivalentto the round sphere. For pseudo-Riemannian manifold
 s\, the analogous statementis false\, by counterexamples due to C. Frances
 . For Lorentzian manifolds of dimensionat least 3\, however\, it is conjec
 tured that whenever the conformal group does not preserveany metric in the
  conformal class&mdash\;in which case it is called essential&mdash\;then t
 hemanifold is locally conformally flat. I will discuss recent work toward 
 resolving thisconjecture and toward classifying the groups G and the close
 d Lorentzian manifoldsM such that G is an essential conformal group for M.
LOCATION:Seminar Room 2\, Newton Institute
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