• Corpus ID: 252070970

The dihedral rigidity conjecture for n-prisms

  title={The dihedral rigidity conjecture for n-prisms},
  author={Chao Li},
  • Chao Li
  • Published 8 July 2019
  • Mathematics
We prove the following comparison theorem for metrics with nonnegative scalar curvature, also known as the dihedral rigidity conjecture by Gromov: for n ≤ 7, if an n -dimensional prism has nonnegative scalar curvature and weakly mean convex faces, then its dihedral angle cannot be everywhere not larger than its Euclidean model, unless it is isometric to an Euclidean prism. The proof relies on constructing certain free boundary minimal hypersurface in a Riemannian polyhedron, and extending a… 

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