Flat affine manifolds and their transformations

We give a characterization of flat affine connections on manifolds by means of a natural affine representation of the universal covering of the Lie group of diffeomorphisms preserving the connection. From the infinitesimal point of view, this representation is determined by the 1-connection form and...

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Autores:
Saldarriaga Ortiz, Omar Darío
Medina Perea, Alirio Alberto
Villabón Aldana, Edgar Andrés
Tipo de recurso:
Article of investigation
Fecha de publicación:
2020
Institución:
Universidad de Antioquia
Repositorio:
Repositorio UdeA
Idioma:
eng
OAI Identifier:
oai:bibliotecadigital.udea.edu.co:10495/46394
Acceso en línea:
https://hdl.handle.net/10495/46394
Palabra clave:
Grupos de Lie
Lie groups
Geometría infinitesimal
Geometry, infinitesimal
Morfismo (Matemáticas)
Morphisms (Mathematics)
Variedades algebraicas
Algebraic varieties
Álgebra conmutativa
Commutative algebra
Rights
openAccess
License
http://creativecommons.org/licenses/by/4.0/