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https://hdl.handle.net/10495/21478| Título : | Left invariant Lorentzian, hyperbolic and Riemannian metrics on Lie groups |
| Autor : | Buitrago Vélez, Juan Felipe |
| metadata.dc.contributor.advisor: | Saldarriaga Ortiz, Omar Darío |
| metadata.dc.subject.*: | Metric spaces Lie groups Lie algebras Riemannian manifolds Varieties (Universal algebra) Invariants Affine algebraic groups Geometry, Riemannian Distance geometry Variedades (Álgebra universal) http://id.loc.gov/authorities/subjects/sh85084441 http://id.loc.gov/authorities/subjects/sh85076786 http://id.loc.gov/authorities/subjects/sh85076782 http://id.loc.gov/authorities/subjects/sh85114045 http://id.loc.gov/authorities/subjects/sh87001104 http://id.loc.gov/authorities/subjects/sh85067665 http://id.loc.gov/authorities/subjects/sh96011312 http://id.loc.gov/authorities/subjects/sh85054159 http://id.loc.gov/authorities/subjects/sh85038508 |
| Fecha de publicación : | 2021 |
| Resumen : | ABSTRACT: We give a classification of flat affine left invariant metric geometric structures on simply connected Lie groups of dimensions two and three. We give some examples of non flat metrics in dimensions up to four. |
| Aparece en las colecciones: | Matemáticas |
Ficheros en este ítem:
| Fichero | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
| BuitragoJuan_2021_MetricsLieGroups.pdf | Trabajo de grado de pregrado | 275.99 kB | Adobe PDF | Visualizar/Abrir |
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