The Taylor expansion of the exponential map and geometric applications

In this work we consider the Taylor expansion of the exponential map of a submanifold immersed in Rn up to order three, in order to introduce the concepts of lateral and frontal deviation. We compute the directions of extreme lateral and frontal deviation for surfaces in R3. Also we compute, by usin...

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Autores: Monera, M.G., Montesinos Amilibia, Ángel, Sanabria-Codesal, Esther|||0000-0002-4523-1991
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/53919
Acceso en línea:https://riunet.upv.es/handle/10251/53919
Access Level:acceso abierto
Palabra clave:Exponential map
Surfaces
Extremal directions
Contact
Normal torsion
MATEMATICA APLICADA
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spelling The Taylor expansion of the exponential map and geometric applicationsMonera, M.G.Montesinos Amilibia, ÁngelSanabria-Codesal, Esther|||0000-0002-4523-1991Exponential mapSurfacesExtremal directionsContactNormal torsionMATEMATICA APLICADAIn this work we consider the Taylor expansion of the exponential map of a submanifold immersed in Rn up to order three, in order to introduce the concepts of lateral and frontal deviation. We compute the directions of extreme lateral and frontal deviation for surfaces in R3. Also we compute, by using the Taylor expansion, the directions of high contact with hyperspheres of a surface immersed in R4 and the asymptotic directions of a surface immersed in RnThis work was partially supported by DGCYT grant no. MTM2009-08933.Springer MilanDepartamento de Matemática AplicadaEscuela Técnica Superior de Ingeniería Aeroespacial y Diseño IndustrialMinisterio de Ciencia e InnovaciónRepositorio Institucional de la Universitat Politècnica de València Riunet20142014-09-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/53919reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengMinisterio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 MTM2009-08933 Singularidades, Geometria Generica Y Morfologia Matematicaopen accesshttp://purl.org/coar/access_right/c_abf2Reserva de todos los derechoshttp://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/539192026-06-13T07:49:27Z
dc.title.none.fl_str_mv The Taylor expansion of the exponential map and geometric applications
title The Taylor expansion of the exponential map and geometric applications
spellingShingle The Taylor expansion of the exponential map and geometric applications
Monera, M.G.
Exponential map
Surfaces
Extremal directions
Contact
Normal torsion
MATEMATICA APLICADA
title_short The Taylor expansion of the exponential map and geometric applications
title_full The Taylor expansion of the exponential map and geometric applications
title_fullStr The Taylor expansion of the exponential map and geometric applications
title_full_unstemmed The Taylor expansion of the exponential map and geometric applications
title_sort The Taylor expansion of the exponential map and geometric applications
dc.creator.none.fl_str_mv Monera, M.G.
Montesinos Amilibia, Ángel
Sanabria-Codesal, Esther|||0000-0002-4523-1991
author Monera, M.G.
author_facet Monera, M.G.
Montesinos Amilibia, Ángel
Sanabria-Codesal, Esther|||0000-0002-4523-1991
author_role author
author2 Montesinos Amilibia, Ángel
Sanabria-Codesal, Esther|||0000-0002-4523-1991
author2_role author
author
dc.contributor.none.fl_str_mv Departamento de Matemática Aplicada
Escuela Técnica Superior de Ingeniería Aeroespacial y Diseño Industrial
Ministerio de Ciencia e Innovación
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Exponential map
Surfaces
Extremal directions
Contact
Normal torsion
MATEMATICA APLICADA
topic Exponential map
Surfaces
Extremal directions
Contact
Normal torsion
MATEMATICA APLICADA
description In this work we consider the Taylor expansion of the exponential map of a submanifold immersed in Rn up to order three, in order to introduce the concepts of lateral and frontal deviation. We compute the directions of extreme lateral and frontal deviation for surfaces in R3. Also we compute, by using the Taylor expansion, the directions of high contact with hyperspheres of a surface immersed in R4 and the asymptotic directions of a surface immersed in Rn
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-09-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/53919
url https://riunet.upv.es/handle/10251/53919
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 MTM2009-08933 Singularidades, Geometria Generica Y Morfologia Matematica
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer Milan
publisher.none.fl_str_mv Springer Milan
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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