On the geometry of four-dimensional Walker manifolds
We study the curvature properties of a large class of four-dimensional Walker metrics. Several interesting examples are found, in particular as regards local symmetry, conformal flatness and Einstein-like metrics. Studiamo le proprietà di curvatura di un’ampia classe di metriche di Walker di dimen...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Sapienza Università Editrice
2009-01-01
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| Series: | Rendiconti di Matematica e delle Sue Applicazioni |
| Subjects: | |
| Online Access: | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2009(2)/163-173.pdf |
| _version_ | 1818690829026328576 |
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| author | Wafa Batat Giovanni Calvaruso Barbara De Leo |
| author_facet | Wafa Batat Giovanni Calvaruso Barbara De Leo |
| author_sort | Wafa Batat |
| collection | DOAJ |
| description | We study the curvature properties of a large class of four-dimensional Walker metrics. Several interesting examples are found, in particular as regards local symmetry, conformal flatness and Einstein-like metrics.
Studiamo le proprietà di curvatura di un’ampia classe di metriche di Walker di dimensione quattro. Vengono messi in evidenza diversi comportamenti interessanti, in particolare per quanto riguarda esempi localmente simmetrici, conformemente piatti e muniti di metriche “Einsteinlike”. |
| first_indexed | 2024-12-17T12:32:13Z |
| format | Article |
| id | doaj.art-5b3ff7d7727643b6b9929ac801cad6d0 |
| institution | Directory Open Access Journal |
| issn | 1120-7183 2532-3350 |
| language | English |
| last_indexed | 2024-12-17T12:32:13Z |
| publishDate | 2009-01-01 |
| publisher | Sapienza Università Editrice |
| record_format | Article |
| series | Rendiconti di Matematica e delle Sue Applicazioni |
| spelling | doaj.art-5b3ff7d7727643b6b9929ac801cad6d02022-12-21T21:48:30ZengSapienza Università EditriceRendiconti di Matematica e delle Sue Applicazioni1120-71832532-33502009-01-01292163173On the geometry of four-dimensional Walker manifoldsWafa Batat0Giovanni Calvaruso1Barbara De Leo2Ecole Normale Superieure de L’Enseignement Technique d’OranUniversità degli Studi di LecceUniversità degli Studi di LecceWe study the curvature properties of a large class of four-dimensional Walker metrics. Several interesting examples are found, in particular as regards local symmetry, conformal flatness and Einstein-like metrics. Studiamo le proprietà di curvatura di un’ampia classe di metriche di Walker di dimensione quattro. Vengono messi in evidenza diversi comportamenti interessanti, in particolare per quanto riguarda esempi localmente simmetrici, conformemente piatti e muniti di metriche “Einsteinlike”.https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2009(2)/163-173.pdfpseudo-riemannian metricscurvaturelocally symmetric spaceseinstein-like metrics |
| spellingShingle | Wafa Batat Giovanni Calvaruso Barbara De Leo On the geometry of four-dimensional Walker manifolds Rendiconti di Matematica e delle Sue Applicazioni pseudo-riemannian metrics curvature locally symmetric spaces einstein-like metrics |
| title | On the geometry of four-dimensional Walker manifolds |
| title_full | On the geometry of four-dimensional Walker manifolds |
| title_fullStr | On the geometry of four-dimensional Walker manifolds |
| title_full_unstemmed | On the geometry of four-dimensional Walker manifolds |
| title_short | On the geometry of four-dimensional Walker manifolds |
| title_sort | on the geometry of four dimensional walker manifolds |
| topic | pseudo-riemannian metrics curvature locally symmetric spaces einstein-like metrics |
| url | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2009(2)/163-173.pdf |
| work_keys_str_mv | AT wafabatat onthegeometryoffourdimensionalwalkermanifolds AT giovannicalvaruso onthegeometryoffourdimensionalwalkermanifolds AT barbaradeleo onthegeometryoffourdimensionalwalkermanifolds |