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SUMMARY:Ana Cristina Castro Ferreira (University of Minho)
DTSTART:20260506T160000Z
DTEND:20260506T170000Z
DTSTAMP:20260513T204408Z
UID:VSGS/130
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VSGS/130/">I
 sometries of 3-Dimensional Semi-Riemannian Lie Groups</a>\nby Ana Cristina
  Castro Ferreira (University of Minho) as part of Virtual seminar on geome
 try with symmetries\n\n\nAbstract\nLet G be a connected\, simply connected
  three-dimensional Lie group (unimodular or non-unimodular) equipped with 
 a left-invariant (Riemannian or Lorentzian) metric g. By definition\, the 
 isometry group Isom(G\, g) contains G itself\, acting by left translations
 . It turns out that\, generically\, Isom(G\, g) is actually equal to G\, a
 nd the natural question then becomes to classify those special metrics for
  which this is not the case. Using Lie-theoretical methods\, we present a 
 unified approach to obtain all pairs (G\, g) whose full isometry group Iso
 m(G\, g) has dimension greater than or equal to four. As a consequence\, w
 e determine\, for every pair (G\, g)\, up to automorphism and scaling\, th
 e dimension of Isom(G\, g)\, which can be three\, four\, or six. \n(Joint 
 work with S. Chaib and A. Zeghib).\n
LOCATION:https://researchseminars.org/talk/VSGS/130/
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