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SUMMARY:Thomas Körber (University of Vienna)
DTSTART:20211207T180000Z
DTEND:20211207T190000Z
DTSTAMP:20260423T035036Z
UID:OSGA/90
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSGA/90/">Fo
 liations of asymptotically flat 3-manifolds by stable constant mean curvat
 ure spheres</a>\nby Thomas Körber (University of Vienna) as part of Onlin
 e Seminar "Geometric Analysis"\n\n\nAbstract\nStable constant mean curvatu
 re spheres encode important information on the asymptotic geometry of init
 ial data sets for isolated gravitational systems. In this talk\, I will pr
 esent a short new proof (joint with M. Eichmair) based on Lyapunov-Schmidt
  reduction of the existence of an asymptotic foliation of such an initial 
 data set by stable constant mean curvature spheres. In the case where the 
 scalar curvature is non-negative\, our method also shows that the leaves o
 f 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/OSGA/90/
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