| Автор | Guy Bonneau |
| Дата выпуска | 1999-03-01 |
| dc.description | We look for four-dimensional Einstein-Weyl spaces equipped with a regular Bianchi metric. Using the explicit four-parameter expression of the distance obtained in a previous work for non-conformally Einstein Einstein-Weyl structures, we show that only four one-parameter families of regular metrics exist on orientable manifolds: they are all of Bianchi type IX and locally conformally Kähler; moreover, in agreement with general results, they have a positive-definite conformal scalar curvature. In a Gauduchon gauge, they are compact and we obtain their topological invariants. Finally, we compare our results to the general analyses of Madsen, Pedersen, Poon and Swann: our simpler parametrization allows us to correct some of their assertions. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Compact Einstein-Weyl four-dimensional manifolds |
| Тип | paper |
| DOI | 10.1088/0264-9381/16/3/031 |
| Electronic ISSN | 1361-6382 |
| Print ISSN | 0264-9381 |
| Журнал | Classical and Quantum Gravity |
| Том | 16 |
| Первая страница | 1057 |
| Последняя страница | 1068 |
| Аффилиация | Guy Bonneau; Laboratoire de Physique Théorique et des Hautes Energies, Unité associée au CNRS UMR 7589, Université Paris 7, 2 Place Jussieu, 75251 Paris Cedex 05, France |
| Выпуск | 3 |
