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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| Published in: | Журнал математической физики, анализа, геометрии |
|---|---|
| Date: | 2008 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2008
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| Online Access: | https://nasplib.isofts.kiev.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| _version_ | 1862654270162075648 |
|---|---|
| author | Bogomolny, E. Bohigas, O. Schmit, C. |
| author_facet | Bogomolny, E. Bohigas, O. Schmit, C. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | 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.
|
| first_indexed | 2025-12-02T00:19:33Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106492 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-02T00:19:33Z |
| publishDate | 2008 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Bogomolny, E. Bohigas, O. Schmit, C. 2016-09-29T17:09:39Z 2016-09-29T17:09:39Z 2008 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. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106492 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. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Distance Matrices and Isometric Embeddings Article published earlier |
| spellingShingle | Distance Matrices and Isometric Embeddings Bogomolny, E. Bohigas, O. Schmit, C. |
| title | Distance Matrices and Isometric Embeddings |
| title_full | Distance Matrices and Isometric Embeddings |
| title_fullStr | Distance Matrices and Isometric Embeddings |
| title_full_unstemmed | Distance Matrices and Isometric Embeddings |
| title_short | Distance Matrices and Isometric Embeddings |
| title_sort | distance matrices and isometric embeddings |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106492 |
| work_keys_str_mv | AT bogomolnye distancematricesandisometricembeddings AT bohigaso distancematricesandisometricembeddings AT schmitc distancematricesandisometricembeddings |