Geodesic
Distance matrices and isometric embeddings
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 4 (2008) no. 1, pp. 7-23 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 nonpositive. Several generalizations are discussed. 
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E. Bohomolny; O. Bohigas; C. Schmit. Distance matrices and isometric embeddings. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 4 (2008) no. 1, pp. 7-23. http://geodesic.mathdoc.fr/item/JMAG_2008_4_1_a0/

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