Article published

The article “Rigidity results for initial data sets satisfying the dominant energy condition” with Simon Brendle, Tsz-Kiu Aaron Chow and Bernhard Hanke was published on November 08, 2025: J. Reine Angew. Math. (2025), online first

The paper contains rigidity theorems for initial data sets associated with compact smooth spin manifolds with boundary and with compact convex polytopes, subject to the dominant energy condition. For manifolds with smooth boundary, this is based on the solution of a boundary value problem for Dirac operators. For convex polytopes, approximations by manifolds with smooth boundary are employed.