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SUMMARY:Zhongshan An (University of Michigan\, Ann Arbor)
DTSTART:20241107T143000Z
DTEND:20241107T153000Z
DTSTAMP:20260423T023049Z
UID:jomarec/37
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/jomarec/37/"
 >Einstein manifolds with boundary</a>\nby Zhongshan An (University of Mich
 igan\, Ann Arbor) as part of JoMaReC - Joint Online Mathematical Relativit
 y Colloquium\n\n\nAbstract\nWe will talk about existence of Einstein metri
 cs on manifolds with boundary\, while prescribing the induced conformal me
 tric and mean curvature of the boundary. In dimension 3\, this becomes the
  existence of conformal embeddings of surfaces into constant sectional cur
 vature space forms\, with prescribed mean curvature. We will show existenc
 e of such conformal emebeddings near generic Einstein background. We will 
 also discuss the existence question in higher dimensions\, where things be
 come more subtle and a non-degenerate boundary condition is used to constr
 uct metrics with nonpositive Einstein constant.\n
LOCATION:https://researchseminars.org/talk/jomarec/37/
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