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SUMMARY:Andrei Moroianu (Université Paris-Saclay)
DTSTART:20210511T150000Z
DTEND:20210511T160000Z
DTSTAMP:20260423T021422Z
UID:DGSTO/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DGSTO/15/">M
 etric connections with parallel torsion</a>\nby Andrei Moroianu (Universit
 é Paris-Saclay) as part of Differential Geometry Seminar Torino\n\n\nAbst
 ract\nThe torsion of every metric connection on a Riemannian manifold has 
 three components: one totally skew-symmetric\, one of vectorial type\, and
  one of twistorial type. In the first part of the talk I will explain the 
 classification of complete simply connected Riemannian manifolds carrying 
 a metric connection whose torsion is parallel\, has non-zero vectorial com
 ponent and  vanishing twistorial component. In the second part I will desc
 ribe the case where the only non-vanishing component of the torsion is tot
 ally skew-symmetric. Although apparently simpler than the previous case\, 
 the situation here is much more involved and a complete classification is 
 currently not available. The talk is based on joint works with Mihaela Pil
 ca and Uwe Semmelmann.\n
LOCATION:https://researchseminars.org/talk/DGSTO/15/
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