Distance matrices and isometric embeddings

E. Bogomolny 1, O. Bohigas 1, C. Schmit 1

Journal of Mathematical Physics, Analysis, Geometry 4 (2008) 7

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.

  • 1. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
    CNRS : UMR8626 – Université Paris XI - Paris Sud