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SUMMARY:Levi Lima (Universidade Federal do Ceará)
DTSTART:20240206T160000Z
DTEND:20240206T170000Z
DTSTAMP:20260423T022717Z
UID:Geolis/135
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/135/"
 >Rigidity of non-compact static domains in hyperbolic space via positive m
 ass theorems</a>\nby Levi Lima (Universidade Federal do Ceará) as part of
  Geometria em Lisboa (IST)\n\n\nAbstract\nWe introduce a notion of statici
 ty for non-compact spaces which encompasses several known examples includi
 ng any domain in hyperbolic space whose boundary is a non-compact totally 
 umbilical hypersurface. For a (time-symmetric) initial data set modeled at
  infinity on any of these latter examples\, we formulate and prove a posit
 ive mass theorem in the spin category under natural dominant energy condit
 ions (both on the interior and along the boundary) whose rigidity statemen
 t in particular retrieves a recent result by Souam to the effect that no s
 uch umbilical hypersurface admits a compactly supported deformation keepin
 g the original lower bound for the mean curvature. A key ingredient in our
  approach is the consideration of a new boundary condition on spinors whic
 h somehow interpolates between chirality and MIT bag boundary conditions. 
 Joint work with S. Almaraz (arXiv:2206.09768\, to appear in ASNS Pisa).\n
LOCATION:https://researchseminars.org/talk/Geolis/135/
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