English

Transverse Rigidity is Prestress Stability

Metric Geometry 2021-06-09 v1

Abstract

Recently, V. Alexandrov proposed an intriguing sufficient condition for rigidity, which we will call "transverse rigidity". We show that transverse rigidity is actually equivalent to the known sufficient condition for rigidity called "prestress stability". Indeed this leads to a novel interpretation of the prestress condition.

Keywords

Cite

@article{arxiv.2106.04485,
  title  = {Transverse Rigidity is Prestress Stability},
  author = {Steven J. Gortler and Miranda Holmes-Cerfon and Louis Theran},
  journal= {arXiv preprint arXiv:2106.04485},
  year   = {2021}
}
R2 v1 2026-06-24T02:58:05.151Z