On the Isometry Groups of Invariant Lorentzian Metrics on the Heisenberg Group
This work concerns the invariant Lorentzian metrics on the Heisenberg Lie group of dimension three H3(R) and the bi-invariant metrics on the solvable Lie groups of dimension four. We start with the indecomposable Lie groups of dimension four admitting bi-invariant metrics and which act on H3(R) by i...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/29852 |
| Acceso en línea: | http://hdl.handle.net/11336/29852 |
| Access Level: | acceso abierto |
| Palabra clave: | Pseudo-Riemannian Spaces Naturally Reductive Lie Groups Heisenberg Groups https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | This work concerns the invariant Lorentzian metrics on the Heisenberg Lie group of dimension three H3(R) and the bi-invariant metrics on the solvable Lie groups of dimension four. We start with the indecomposable Lie groups of dimension four admitting bi-invariant metrics and which act on H3(R) by isometries and we study some geometrical features on these spaces. On H3(R), we prove that the property of the metric being proper naturally reductive is equivalent to the property of the center being non-degenerate. These metrics are Lorentzian algebraic Ricci solitons |
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