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...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2010 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2010
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146115 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Peterson's Deformations of higher dimensional quadrics / Dincă I.I. // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 7 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862537604927324160 |
|---|---|
| author | Dincă, I.I. |
| author_facet | Dincă, I.I. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-11-24T11:44:38Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146115 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-24T11:44:38Z |
| publishDate | 2010 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Peterson's Deformations of higher dimensional quadrics Dincă, I.I. |
| title | 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_short | Peterson's Deformations of higher dimensional quadrics |
| title_sort | peterson's deformations of higher dimensional quadrics |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146115 |
| work_keys_str_mv | AT dincaii petersonsdeformationsofhigherdimensionalquadrics |