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SUMMARY:Thomas Koerber (Vienna)
DTSTART:20211102T140000Z
DTEND:20211102T150000Z
DTSTAMP:20260423T005719Z
UID:BOWL/30
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BOWL/30/">Fo
 liations of asymptotically flat 3-manifolds by stable constant mean curvat
 ure spheres</a>\nby Thomas Koerber (Vienna) as part of B.O.W.L Geometry Se
 minar\n\n\nAbstract\nStable constant mean curvature spheres encode importa
 nt information on the asymptotic geometry of initial data sets for isolate
 d gravitational systems. In this talk\, I will present a short new proof (
 joint with M. Eichmair) based on Lyapunov-Schmidt reduction of the existen
 ce of an asymptotic foliation of such an initial data set by stable consta
 nt mean curvature spheres. In the case where the scalar curvature is non-n
 egative\, our method also shows that the leaves of this foliation are the 
 only large stable constant mean curvature spheres that enclose the center 
 of the initial data set.\n
LOCATION:https://researchseminars.org/talk/BOWL/30/
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