On the Projective Algebra of Randers Metrics of Constant Flag Curvature
The collection of all projective vector fields on a Finsler space (M,F) is a finite-dimensional Lie algebra with respect to the usual Lie bracket, called the projective algebra denoted by p(M,F) and is the Lie algebra of the projective group P(M,F). The projective algebra p(M,F=α+β) of a Randers spa...
Збережено в:
| Дата: | 2011 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2011
|
| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147412 |
| 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: | On the Projective Algebra of Randers Metrics of Constant Flag Curvature / M. Rafie-Rad, B. Rezaei // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 28 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147412 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1474122019-02-15T01:24:02Z On the Projective Algebra of Randers Metrics of Constant Flag Curvature Rafie-Rad, M. Rezaei, B. The collection of all projective vector fields on a Finsler space (M,F) is a finite-dimensional Lie algebra with respect to the usual Lie bracket, called the projective algebra denoted by p(M,F) and is the Lie algebra of the projective group P(M,F). The projective algebra p(M,F=α+β) of a Randers space is characterized as a certain Lie subalgebra of the projective algebra p(M,α). Certain subgroups of the projective group P(M,F) and their invariants are studied. The projective algebra of Randers metrics of constant flag curvature is studied and it is proved that the dimension of the projective algebra of Randers metrics constant flag curvature on a compact n-manifold either equals n(n+2) or at most is n(n+1)/2. 2011 Article On the Projective Algebra of Randers Metrics of Constant Flag Curvature / M. Rafie-Rad, B. Rezaei // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 28 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 53C60; 53B50, 58J60 DOI: http://dx.doi.org/10.3842/SIGMA.2011.085 http://dspace.nbuv.gov.ua/handle/123456789/147412 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 |
The collection of all projective vector fields on a Finsler space (M,F) is a finite-dimensional Lie algebra with respect to the usual Lie bracket, called the projective algebra denoted by p(M,F) and is the Lie algebra of the projective group P(M,F). The projective algebra p(M,F=α+β) of a Randers space is characterized as a certain Lie subalgebra of the projective algebra p(M,α). Certain subgroups of the projective group P(M,F) and their invariants are studied. The projective algebra of Randers metrics of constant flag curvature is studied and it is proved that the dimension of the projective algebra of Randers metrics constant flag curvature on a compact n-manifold either equals n(n+2) or at most is n(n+1)/2. |
| format |
Article |
| author |
Rafie-Rad, M. Rezaei, B. |
| spellingShingle |
Rafie-Rad, M. Rezaei, B. On the Projective Algebra of Randers Metrics of Constant Flag Curvature Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Rafie-Rad, M. Rezaei, B. |
| author_sort |
Rafie-Rad, M. |
| title |
On the Projective Algebra of Randers Metrics of Constant Flag Curvature |
| title_short |
On the Projective Algebra of Randers Metrics of Constant Flag Curvature |
| title_full |
On the Projective Algebra of Randers Metrics of Constant Flag Curvature |
| title_fullStr |
On the Projective Algebra of Randers Metrics of Constant Flag Curvature |
| title_full_unstemmed |
On the Projective Algebra of Randers Metrics of Constant Flag Curvature |
| title_sort |
on the projective algebra of randers metrics of constant flag curvature |
| publisher |
Інститут математики НАН України |
| publishDate |
2011 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147412 |
| citation_txt |
On the Projective Algebra of Randers Metrics of Constant Flag Curvature / M. Rafie-Rad, B. Rezaei // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 28 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT rafieradm ontheprojectivealgebraofrandersmetricsofconstantflagcurvature AT rezaeib ontheprojectivealgebraofrandersmetricsofconstantflagcurvature |
| first_indexed |
2023-05-20T17:27:39Z |
| last_indexed |
2023-05-20T17:27:39Z |
| _version_ |
1796153341263216640 |