Peterson's Deformations of higher dimensional quadrics
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Peterson's Deformations of higher dimensional quadrics
|
|
| Creator |
Dincă, I.I.
|
|
| 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.
|
|
| Date |
2019-02-07T13:56:28Z
2019-02-07T13:56:28Z 2010 |
|
| Type |
Article
|
|
| Identifier |
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 http://dspace.nbuv.gov.ua/handle/123456789/146115 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|