English

Distance matrices and isometric embeddings

Chaotic Dynamics 2007-10-11 v1

Abstract

We review the relations between distance matrices and isometric embeddings and give simple proofs that distance matrices defined on euclidean and spherical spaces have all eigenvalues except one non-negative. Several generalizations are discussed.

Keywords

Cite

@article{arxiv.0710.2063,
  title  = {Distance matrices and isometric embeddings},
  author = {E. Bogomolny and O. Bohigas and C. Schmit},
  journal= {arXiv preprint arXiv:0710.2063},
  year   = {2007}
}

Comments

17 pages

R2 v1 2026-06-21T09:29:54.697Z