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SUMMARY:Yuri Nikolayevsky (La Trobe University)
DTSTART:20200701T230000Z
DTEND:20200701T235900Z
DTSTAMP:20260423T035932Z
UID:VSGS/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VSGS/5/">Ein
 stein extensions of Riemannian manifolds</a>\nby Yuri Nikolayevsky (La Tro
 be University) as part of Virtual seminar on geometry with symmetries\n\n\
 nAbstract\nGiven a Riemannian space $N$ of dimension $n$ and a field $D$ o
 f symmetric endomorphisms on $N$\, we define the extension $M$ of $N$ by $
 D$ to be the Riemannian manifold of dimension $n+1$ obtained from $N$ by a
  construction similar to extending a Lie group by a derivation of its Lie 
 algebra. We find the conditions on $N$ and $D$ for $M$ to be Einstein\, an
 d then study various classes of Einstein extensions so obtained. It turns 
 out that several remarkable phenomena and properties which were observed i
 n the homogeneous case are still present in the Riemannian case. This is a
  joint work with D. Alekseevsky.\n
LOCATION:https://researchseminars.org/talk/VSGS/5/
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