• Corpus ID: 235367895

Transverse Rigidity is Prestress Stability

@article{Gortler2021TransverseRI,
  title={Transverse Rigidity is Prestress Stability},
  author={Steven J. Gortler and Miranda C. Holmes-Cerfon and Louis Theran},
  journal={arXiv: Metric Geometry},
  year={2021}
}
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. 
1 Citations
A note on the first-order flexes of smooth surfaces which are tangent to the set of all nonrigid surfaces
We prove that first-order flexes of smooth surfaces in Euclidean 3-space, which are tangent to the set of all nonrigid surfaces, can be extended to second-order flexes.

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