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SUMMARY:Ana Cristina Castro Ferreira (University of Minho)
DTSTART:20260506T160000Z
DTEND:20260506T170000Z
DTSTAMP:20260423T021350Z
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\nor non-unimodular) equipped with
  a left-invariant (Riemannian or Lorentzian) met-\nric g. By definition\, 
 the isometry group Isom(G\, g) contains G itself\, acting by left\ntransla
 tions. It turns out that\, generically\, Isom(G\, g) is actually equal to 
 G\, and the\nnatural question then becomes to classify those special metri
 cs for which this is not\nthe case. Using Lie-theoretical methods\, we pre
 sent a unified approach to obtain all\npairs (G\, g) whose full isometry g
 roup Isom(G\, g) has dimension greater than or\nequal to four. As a conseq
 uence\, we determine\, for every pair (G\, g)\, up to automor-\nphism and 
 scaling\, the dimension of Isom(G\, g)\, which can be three\, four\, or si
 x. \n(Joint work with S. Chaib and A. Zeghib).\n
LOCATION:https://researchseminars.org/talk/VSGS/130/
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