Mass and Riemannian polyhedra

Pengzi Miao, Annachiara Piubello

Research output: Contribution to journalArticlepeer-review


We show that the concept of the ADM mass in general relativity can be understood via the total mean curvature and the total defect of dihedral angle of the boundary of large Riemannian polyhedra. We also derive the n-dimensional mass as a suitable integral of quantities determining the (n−1)-dimensional mass.

Original languageEnglish (US)
Article number108287
JournalAdvances in Mathematics
StatePublished - May 14 2022
Externally publishedYes


  • Mass
  • Mean curvature
  • Scalar curvature

ASJC Scopus subject areas

  • Mathematics(all)


Dive into the research topics of 'Mass and Riemannian polyhedra'. Together they form a unique fingerprint.

Cite this