Distance Matrices and Isometric Embeddings

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

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Bibliographic Details
Date:2008
Main Authors: Bogomolny, E., Bohigas, O., Schmit, C.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2008
Series:Журнал математической физики, анализа, геометрии
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/106492
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Distance Matrices and Isometric Embeddings / E. Bogomolny, O. Bohigas, C. Schmit // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 1. — С. 7-23. — Бібліогр.: 14 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine