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SUMMARY:Gregory Eskin (UCLA)
DTSTART:20220526T160000Z
DTEND:20220526T170000Z
DTSTAMP:20260423T035626Z
UID:Inverse/90
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Inverse/90/"
 >Rigidity for Lorentzian metrics having the same length of null-geodesics<
 /a>\nby Gregory Eskin (UCLA) as part of International Zoom Inverse Problem
 s Seminar\, UC Irvine\n\n\nAbstract\nWe study the Lorentzian  metric  inde
 pendent  of  the time variable in the cylinder  $\\R\\times\\Omega$   wher
 e  $x_0\\in\\R$  is  the time  variable  and  $\\Omega$ is a bounded  smoo
 th  domain in $\\R^n$.\n\nWe  consider  forward null-geodesics  in $\\R\\t
 imes \\Omega$   starting  on  $\\R\\times\\partial\\Omega$   at   $t=0$  a
 nd  leaving  $\\R\\times\\Omega$  at some later time. We prove the followi
 ng  rigidity  result:\n\nIf  two  Lorentzian  metrics  are close  enough  
 in  some norm  and if  corresponding  null-geodesics  have  equal  lengths
  in $(x_0\,x)$ space  then  the  metrics  are equal.\n
LOCATION:https://researchseminars.org/talk/Inverse/90/
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