Isometric immersions into Riemannian Manifolds

This paper summarizes the basic theory of connections in principal bundles and vector bundles in order to apply these theories to the study of isometric immersions in Riemannian manifolds; by an appropriate version ofthe Frobenius theorem we show a result that generalizes the Fundamental Theorem of...

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Fecha de publicación:: 2011

Institución:: Universidad Industrial de Santander

Repositorio:: Repositorio UIS

Idioma:: spa

id	UISANTADR2_bc80dcabc9bd991df2f260411a409b54
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spelling	Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)http://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessAtribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)2011-01-312022-03-14T20:23:27Z2022-03-14T20:23:27Zhttps://revistas.uis.edu.co/index.php/revistaintegracion/article/view/2409https://noesis.uis.edu.co/handle/20.500.14071/7310This paper summarizes the basic theory of connections in principal bundles and vector bundles in order to apply these theories to the study of isometric immersions in Riemannian manifolds; by an appropriate version ofthe Frobenius theorem we show a result that generalizes the Fundamental Theorem of isometric immersions.Este trabajo recapitula la teoría básica de conexiones en fibrados principales y fibrados vectoriales con el fin de aplicar tales teorías al estudio de inmersiones isométricas en variedades riemannianas; por medio de una versión apropiada del teorema de Frobenius mostramos un resultado que generaliza el teorema fundamental de las inmersiones isométricas.  application/pdfspaUniversidad Industrial de Santanderhttps://revistas.uis.edu.co/index.php/revistaintegracion/article/view/2409/2742Revista integración, temas de matemáticas; Vol. 29 Núm. 1 (2011): Revista Integración, temas de matemáticas; 31-54REVISTA INTEGRACIÓN; v. 29 n. 1 (2011): Revista Integración, temas de matemáticas; 31-542145-84720120-419Xvector bundlesframe bundles and connectionsisometric immersionsfibrados vectorialesfibrados de referenciales y conexionesinmersiones isométricasIsometric immersions into Riemannian ManifoldsInmersiones isométricas en variedades riemannianasinfo:eu-repo/semantics/articlehttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb1Marín Arango, Carlos Alberto20.500.14071/7310oai:noesis.uis.edu.co:20.500.14071/73102022-03-16 12:39:58.13metadata.onlyhttps://noesis.uis.edu.coDSpace at UISnoesis@uis.edu.co
dc.title.en-US.fl_str_mv	Isometric immersions into Riemannian Manifolds
dc.title.es-ES.fl_str_mv	Inmersiones isométricas en variedades riemannianas
title	Isometric immersions into Riemannian Manifolds
spellingShingle	Isometric immersions into Riemannian Manifolds vector bundles frame bundles and connections isometric immersions fibrados vectoriales fibrados de referenciales y conexiones inmersiones isométricas
title_short	Isometric immersions into Riemannian Manifolds
title_full	Isometric immersions into Riemannian Manifolds
title_fullStr	Isometric immersions into Riemannian Manifolds
title_full_unstemmed	Isometric immersions into Riemannian Manifolds
title_sort	Isometric immersions into Riemannian Manifolds
dc.subject.en-US.fl_str_mv	vector bundles frame bundles and connections isometric immersions
topic	vector bundles frame bundles and connections isometric immersions fibrados vectoriales fibrados de referenciales y conexiones inmersiones isométricas
dc.subject.es-ES.fl_str_mv	fibrados vectoriales fibrados de referenciales y conexiones inmersiones isométricas
description	This paper summarizes the basic theory of connections in principal bundles and vector bundles in order to apply these theories to the study of isometric immersions in Riemannian manifolds; by an appropriate version ofthe Frobenius theorem we show a result that generalizes the Fundamental Theorem of isometric immersions.
publishDate	2011
dc.date.accessioned.none.fl_str_mv	2022-03-14T20:23:27Z
dc.date.available.none.fl_str_mv	2022-03-14T20:23:27Z
dc.date.none.fl_str_mv	2011-01-31
dc.type.none.fl_str_mv	info:eu-repo/semantics/article
dc.type.coarversion.fl_str_mv	http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.coar.fl_str_mv	http://purl.org/coar/resource_type/c_2df8fbb1
dc.identifier.none.fl_str_mv	https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/2409
dc.identifier.uri.none.fl_str_mv	https://noesis.uis.edu.co/handle/20.500.14071/7310
url	https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/2409 https://noesis.uis.edu.co/handle/20.500.14071/7310
dc.language.none.fl_str_mv	spa
language	spa
dc.relation.none.fl_str_mv	https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/2409/2742
dc.rights.license.none.fl_str_mv	Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
dc.rights.coar.none.fl_str_mv	http://purl.org/coar/access_right/c_abf2
dc.rights.accessrights.none.fl_str_mv	info:eu-repo/semantics/openAccess
dc.rights.creativecommons.none.fl_str_mv	Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)
rights_invalid_str_mv	Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) http://purl.org/coar/access_right/c_abf2 Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)
eu_rights_str_mv	openAccess
dc.format.none.fl_str_mv	application/pdf
dc.publisher.es-ES.fl_str_mv	Universidad Industrial de Santander
dc.source.es-ES.fl_str_mv	Revista integración, temas de matemáticas; Vol. 29 Núm. 1 (2011): Revista Integración, temas de matemáticas; 31-54
dc.source.pt-BR.fl_str_mv	REVISTA INTEGRACIÓN; v. 29 n. 1 (2011): Revista Integración, temas de matemáticas; 31-54
dc.source.none.fl_str_mv	2145-8472 0120-419X
institution	Universidad Industrial de Santander
repository.name.fl_str_mv	DSpace at UIS
repository.mail.fl_str_mv	noesis@uis.edu.co
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Isometric immersions into Riemannian Manifolds

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