Free boundary hypersurfaces and marginally outer trapped surfaces satisfying scalar curvature and energy bounds force warped product or product splitting, with Einstein slices and sharp volume lower bounds.
Aubin, Equations diff´ erentielles non lin´ eaires et probl` eme de Yamabe concernant la courbure scalaire , J
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Rigidity results for free boundary hypersurfaces in initial data sets with boundary
Free boundary hypersurfaces and marginally outer trapped surfaces satisfying scalar curvature and energy bounds force warped product or product splitting, with Einstein slices and sharp volume lower bounds.