A geometric approach to discrete connections on principal bundles

This work revisits, from a geometric perspective, the notion of discrete connection on a principal bundle, introduced by M. Leok, J. Marsden and A. Weinstein. It provides precise definitions of discrete connection, discrete connection form and discrete horizontal lift and studies some of their basic...

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Detalles Bibliográficos
Autores principales: Fernández, J., Zuccalli, Marcela
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2013
Materias:
Matemática
Ciencias Exactas
Connection
Discrete dynamical system
Principal bundle
Reduction
Symmetries
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/85448
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-85448
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Ciencias Exactas
Connection
Discrete dynamical system
Principal bundle
Reduction
Symmetries
spellingShingle Matemática
Ciencias Exactas
Connection
Discrete dynamical system
Principal bundle
Reduction
Symmetries
Fernández, J.
Zuccalli, Marcela
A geometric approach to discrete connections on principal bundles
topic_facet Matemática
Ciencias Exactas
Connection
Discrete dynamical system
Principal bundle
Reduction
Symmetries
description This work revisits, from a geometric perspective, the notion of discrete connection on a principal bundle, introduced by M. Leok, J. Marsden and A. Weinstein. It provides precise definitions of discrete connection, discrete connection form and discrete horizontal lift and studies some of their basic properties and relationships. An existence result for discrete connections on principal bundles equipped with appropriate Riemannian metrics is proved.
format Articulo
Preprint
author Fernández, J.
Zuccalli, Marcela
author_facet Fernández, J.
Zuccalli, Marcela
author_sort Fernández, J.
title A geometric approach to discrete connections on principal bundles
title_short A geometric approach to discrete connections on principal bundles
title_full A geometric approach to discrete connections on principal bundles
title_fullStr A geometric approach to discrete connections on principal bundles
title_full_unstemmed A geometric approach to discrete connections on principal bundles
title_sort geometric approach to discrete connections on principal bundles
publishDate 2013
url http://sedici.unlp.edu.ar/handle/10915/85448
work_keys_str_mv AT fernandezj ageometricapproachtodiscreteconnectionsonprincipalbundles
AT zuccallimarcela ageometricapproachtodiscreteconnectionsonprincipalbundles
AT fernandezj geometricapproachtodiscreteconnectionsonprincipalbundles
AT zuccallimarcela geometricapproachtodiscreteconnectionsonprincipalbundles
bdutipo_str Repositorios
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