Global Eikonal Condition for Lorentzian Distance Function in Noncommutative Geometry
Connes' noncommutative Riemannian distance formula is constructed in two steps, the first one being the construction of a path-independent geometrical functional using a global constraint on continuous functions. This paper generalizes this first step to Lorentzian geometry. We show that, in a...
Збережено в:
| Дата: | 2010 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2010
|
| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146501 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Global Eikonal Condition for Lorentzian Distance Function in Noncommutative Geometry / N. Franco // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 15 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146501 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1465012019-02-10T01:24:43Z Global Eikonal Condition for Lorentzian Distance Function in Noncommutative Geometry Franco, N. Connes' noncommutative Riemannian distance formula is constructed in two steps, the first one being the construction of a path-independent geometrical functional using a global constraint on continuous functions. This paper generalizes this first step to Lorentzian geometry. We show that, in a globally hyperbolic spacetime, a single global timelike eikonal condition is sufficient to construct a path-independent Lorentzian distance function. 2010 Article Global Eikonal Condition for Lorentzian Distance Function in Noncommutative Geometry / N. Franco // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 15 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 58B34; 53C50 DOI:10.3842/SIGMA.2010.064 http://dspace.nbuv.gov.ua/handle/123456789/146501 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Connes' noncommutative Riemannian distance formula is constructed in two steps, the first one being the construction of a path-independent geometrical functional using a global constraint on continuous functions. This paper generalizes this first step to Lorentzian geometry. We show that, in a globally hyperbolic spacetime, a single global timelike eikonal condition is sufficient to construct a path-independent Lorentzian distance function. |
| format |
Article |
| author |
Franco, N. |
| spellingShingle |
Franco, N. Global Eikonal Condition for Lorentzian Distance Function in Noncommutative Geometry Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Franco, N. |
| author_sort |
Franco, N. |
| title |
Global Eikonal Condition for Lorentzian Distance Function in Noncommutative Geometry |
| title_short |
Global Eikonal Condition for Lorentzian Distance Function in Noncommutative Geometry |
| title_full |
Global Eikonal Condition for Lorentzian Distance Function in Noncommutative Geometry |
| title_fullStr |
Global Eikonal Condition for Lorentzian Distance Function in Noncommutative Geometry |
| title_full_unstemmed |
Global Eikonal Condition for Lorentzian Distance Function in Noncommutative Geometry |
| title_sort |
global eikonal condition for lorentzian distance function in noncommutative geometry |
| publisher |
Інститут математики НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146501 |
| citation_txt |
Global Eikonal Condition for Lorentzian Distance Function in Noncommutative Geometry / N. Franco // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 15 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT francon globaleikonalconditionforlorentziandistancefunctioninnoncommutativegeometry |
| first_indexed |
2023-05-20T17:24:41Z |
| last_indexed |
2023-05-20T17:24:41Z |
| _version_ |
1796153229522763776 |