Peterson's Deformations of higher dimensional quadrics
We provide the first explicit examples of deformations of higher dimensional quadrics: a straightforward generalization of Peterson's explicit 1-dimensional family of deformations in C³ of 2-dimensional general quadrics with common conjugate system given by the spherical coordinates on the comp...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2010 |
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| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2010
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146115 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Peterson's Deformations of higher dimensional quadrics / Dincă I.I. // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 7 назв. — англ. |
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Dincă, I.I. 2019-02-07T13:56:28Z 2019-02-07T13:56:28Z 2010 Peterson's Deformations of higher dimensional quadrics / Dincă I.I. // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 7 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 53A07; 53B25; 35Q58 https://nasplib.isofts.kiev.ua/handle/123456789/146115 We provide the first explicit examples of deformations of higher dimensional quadrics: a straightforward generalization of Peterson's explicit 1-dimensional family of deformations in C³ of 2-dimensional general quadrics with common conjugate system given by the spherical coordinates on the complex sphere S² ⊂ C³ to an explicit (n–1)-dimensional family of deformations in C²ⁿ⁻¹ of n-dimensional general quadrics with common conjugate system given by the spherical coordinates on the complex sphere Sⁿ ⊂ Cⁿ⁺¹ and non-degenerate joined second fundamental forms. It is then proven that this family is maximal. I would like to thank the referees for useful suggestions. The research has been supported by the University of Buchares en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Peterson's Deformations of higher dimensional quadrics Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Peterson's Deformations of higher dimensional quadrics |
| spellingShingle |
Peterson's Deformations of higher dimensional quadrics Dincă, I.I. |
| title_short |
Peterson's Deformations of higher dimensional quadrics |
| title_full |
Peterson's Deformations of higher dimensional quadrics |
| title_fullStr |
Peterson's Deformations of higher dimensional quadrics |
| title_full_unstemmed |
Peterson's Deformations of higher dimensional quadrics |
| title_sort |
peterson's deformations of higher dimensional quadrics |
| author |
Dincă, I.I. |
| author_facet |
Dincă, I.I. |
| publishDate |
2010 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
We provide the first explicit examples of deformations of higher dimensional quadrics: a straightforward generalization of Peterson's explicit 1-dimensional family of deformations in C³ of 2-dimensional general quadrics with common conjugate system given by the spherical coordinates on the complex sphere S² ⊂ C³ to an explicit (n–1)-dimensional family of deformations in C²ⁿ⁻¹ of n-dimensional general quadrics with common conjugate system given by the spherical coordinates on the complex sphere Sⁿ ⊂ Cⁿ⁺¹ and non-degenerate joined second fundamental forms. It is then proven that this family is maximal.
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| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/146115 |
| fulltext |
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| citation_txt |
Peterson's Deformations of higher dimensional quadrics / Dincă I.I. // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 7 назв. — англ. |
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AT dincaii petersonsdeformationsofhigherdimensionalquadrics |
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2025-11-24T11:44:38Z |
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2025-11-24T11:44:38Z |
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1850846096119562240 |