Lorentzian compact manifolds: Isometries and geodesics
In this work we investigate families of compact Lorentzian manifolds in dimension four. We show that every lightlike geodesic on such spaces is periodic, while there are closed and non-closed spacelike and timelike geodesics. Also their isometry groups are computed. We also show that there is a non...
| Authors: | , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2014 |
| Country: | Argentina |
| Institution: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repository: | CONICET Digital (CONICET) |
| Language: | English |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/29856 |
| Online Access: | http://hdl.handle.net/11336/29856 |
| Access Level: | Open access |
| Keyword: | Lorentz Manifolds Closed Geodesics Isometry Actions Compact Homogeneous Manifolds Solvable Lie Groups https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Summary: | In this work we investigate families of compact Lorentzian manifolds in dimension four. We show that every lightlike geodesic on such spaces is periodic, while there are closed and non-closed spacelike and timelike geodesics. Also their isometry groups are computed. We also show that there is a non trivial action by isometries of H3(R) on the nilmanifold S 1 × (Γk\H3(R)) for Γk, a lattice of H3(R). |
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