Levi-Civita's Theorem for Noncommutative Tori
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Levi-Civita's Theorem for Noncommutative Tori
|
|
| Creator |
Rosenberg, J.
|
|
| Description |
We show how to define Riemannian metrics and connections on a noncommutative torus in such a way that an analogue of Levi-Civita's theorem on the existence and uniqueness of a Riemannian connection holds. The major novelty is that we need to use two different notions of noncommutative vector field. Levi-Civita's theorem makes it possible to define Riemannian curvature using the usual formulas.
|
|
| Date |
2019-02-21T07:21:13Z
2019-02-21T07:21:13Z 2013 |
|
| Type |
Article
|
|
| Identifier |
Levi-Civita's Theorem for Noncommutative Tori / L. Rosenberg // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 11 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 46L87; 58B34; 46L08; 46L08 DOI: http://dx.doi.org/10.3842/SIGMA.2013.071 http://dspace.nbuv.gov.ua/handle/123456789/149363 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|