Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds
A study is made of 4-dimensional Lorentz manifolds which are projectively related, that is, whose Levi-Civita connections give rise to the same (unparameterised) geodesics. A brief review of some relevant recent work is provided and a list of new results connecting projective relatedness and the hol...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2009 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2009
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/149137 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds / G.S. Hall, D.P. Lonie // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 26 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862708995643408384 |
|---|---|
| author | Hall, G.S. Lonie, D.P. |
| author_facet | Hall, G.S. Lonie, D.P. |
| citation_txt | Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds / G.S. Hall, D.P. Lonie // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 26 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | A study is made of 4-dimensional Lorentz manifolds which are projectively related, that is, whose Levi-Civita connections give rise to the same (unparameterised) geodesics. A brief review of some relevant recent work is provided and a list of new results connecting projective relatedness and the holonomy type of the Lorentz manifold in question is given. This necessitates a review of the possible holonomy groups for such manifolds which, in turn, requires a certain convenient classification of the associated curvature tensors. These reviews are provided.
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| first_indexed | 2025-12-07T17:14:33Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149137 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T17:14:33Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Hall, G.S. Lonie, D.P. 2019-02-19T17:37:20Z 2019-02-19T17:37:20Z 2009 Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds / G.S. Hall, D.P. Lonie // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 26 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 53C29; 53C22; 53C50 https://nasplib.isofts.kiev.ua/handle/123456789/149137 A study is made of 4-dimensional Lorentz manifolds which are projectively related, that is, whose Levi-Civita connections give rise to the same (unparameterised) geodesics. A brief review of some relevant recent work is provided and a list of new results connecting projective relatedness and the holonomy type of the Lorentz manifold in question is given. This necessitates a review of the possible holonomy groups for such manifolds which, in turn, requires a certain convenient classification of the associated curvature tensors. These reviews are provided. This paper is a contribution to the Special Issue “Elie Cartan and Differential Geometry”. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds Article published earlier |
| spellingShingle | Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds Hall, G.S. Lonie, D.P. |
| title | Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds |
| title_full | Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds |
| title_fullStr | Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds |
| title_full_unstemmed | Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds |
| title_short | Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds |
| title_sort | holonomy and projective equivalence in 4-dimensional lorentz manifolds |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149137 |
| work_keys_str_mv | AT hallgs holonomyandprojectiveequivalencein4dimensionallorentzmanifolds AT loniedp holonomyandprojectiveequivalencein4dimensionallorentzmanifolds |