Left invariant Lorentzian, hyperbolic and Riemannian metrics on Lie groups

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.

Autores:

Buitrago Vélez, Juan Felipe

Tipo de recurso:

Trabajo de grado de pregrado

Fecha de publicación:

2021

Institución:

Universidad de Antioquia

Repositorio:

Repositorio UdeA

Idioma:

eng

OAI Identifier:

oai:bibliotecadigital.udea.edu.co:10495/21478

Acceso en línea:

http://hdl.handle.net/10495/21478

Palabra clave:

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

Rights

openAccess

License

Atribución-NoComercial-CompartirIgual 2.5 Colombia (CC BY-NC-SA 2.5 CO)