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SUMMARY:Anton Galaev (University of Hradec Kralove)
DTSTART:20241120T123000Z
DTEND:20241120T133000Z
DTSTAMP:20260413T102033Z
UID:PHK-cohomology-seminar/115
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PHK-cohomolo
 gy-seminar/115/">Conformally homogeneous Lorentzian spaces</a>\nby Anton G
 alaev (University of Hradec Kralove) as part of Prague-Hradec Kralove semi
 nar Cohomology in algebra\, geometry\, physics and statistics\n\n\nAbstrac
 t\nThis is a joint work with Dmitri Alekseevsky. We prove that if a simply
  connected non-conformally flat conformal Lorentzian manifold $(M\,c)$ adm
 its an essential transitive group of conformal transformations\, then ther
 e exists a metric $g\\in c$ such that $(M\,g)$ is a complete homogeneous p
 lane wave. We also prove that the group of conformal transformations of a 
 non-conformally flat simply connected homogeneous plane wave $(M\,g)$ cons
 ists of homotheties\, hence it is a 1-dimensional extension of the group o
 f isometries.\n
LOCATION:https://researchseminars.org/talk/PHK-cohomology-seminar/115/
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