The moduli space of embedded singly periodic maximal surfaces with isolated singularities in the Lorentz-Minkowski space L3

We show that, up to some natural normalizations, the moduli space of singly periodic complete embedded maximal surfaces in the Lorentz-Minkowski space L3 = (R3, dx2 1 + dx2 2 − dx2 3), with fundamental piece having a finite number (n + 1) of singularities, is a real analytic manifold of dimension 3n...

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Detalles Bibliográficos
Autores: Fernández Delgado, Isabel, López, Francisco J., Souam, Rabah
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2007
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/115306
Acceso en línea:https://hdl.handle.net/11441/115306
https://doi.org/10.1007/s00229-007-0079-1
Access Level:acceso abierto
Palabra clave:Maximal surfaces
Periodic surfaces
Conelike singularities
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spelling The moduli space of embedded singly periodic maximal surfaces with isolated singularities in the Lorentz-Minkowski space L3Fernández Delgado, IsabelLópez, Francisco J.Souam, RabahMaximal surfacesPeriodic surfacesConelike singularitiesWe show that, up to some natural normalizations, the moduli space of singly periodic complete embedded maximal surfaces in the Lorentz-Minkowski space L3 = (R3, dx2 1 + dx2 2 − dx2 3), with fundamental piece having a finite number (n + 1) of singularities, is a real analytic manifold of dimension 3n+4. The underlying topology agrees with the topology of uniform convergence of graphs on compact subsets of {x3 = 0}.Ministerio de Ciencia y Tecnología MTM2004-00160SpringerMatemática Aplicada IMinisterio de Ciencia Y Tecnología (MCYT). España2007info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/115306https://doi.org/10.1007/s00229-007-0079-1reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésManuscripta Mathematica, 122 (4), 439-463.MTM2004-00160https://link.springer.com/article/10.1007/s00229-007-0079-1info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1153062026-06-17T12:51:07Z
dc.title.none.fl_str_mv The moduli space of embedded singly periodic maximal surfaces with isolated singularities in the Lorentz-Minkowski space L3
title The moduli space of embedded singly periodic maximal surfaces with isolated singularities in the Lorentz-Minkowski space L3
spellingShingle The moduli space of embedded singly periodic maximal surfaces with isolated singularities in the Lorentz-Minkowski space L3
Fernández Delgado, Isabel
Maximal surfaces
Periodic surfaces
Conelike singularities
title_short The moduli space of embedded singly periodic maximal surfaces with isolated singularities in the Lorentz-Minkowski space L3
title_full The moduli space of embedded singly periodic maximal surfaces with isolated singularities in the Lorentz-Minkowski space L3
title_fullStr The moduli space of embedded singly periodic maximal surfaces with isolated singularities in the Lorentz-Minkowski space L3
title_full_unstemmed The moduli space of embedded singly periodic maximal surfaces with isolated singularities in the Lorentz-Minkowski space L3
title_sort The moduli space of embedded singly periodic maximal surfaces with isolated singularities in the Lorentz-Minkowski space L3
dc.creator.none.fl_str_mv Fernández Delgado, Isabel
López, Francisco J.
Souam, Rabah
author Fernández Delgado, Isabel
author_facet Fernández Delgado, Isabel
López, Francisco J.
Souam, Rabah
author_role author
author2 López, Francisco J.
Souam, Rabah
author2_role author
author
dc.contributor.none.fl_str_mv Matemática Aplicada I
Ministerio de Ciencia Y Tecnología (MCYT). España
dc.subject.none.fl_str_mv Maximal surfaces
Periodic surfaces
Conelike singularities
topic Maximal surfaces
Periodic surfaces
Conelike singularities
description We show that, up to some natural normalizations, the moduli space of singly periodic complete embedded maximal surfaces in the Lorentz-Minkowski space L3 = (R3, dx2 1 + dx2 2 − dx2 3), with fundamental piece having a finite number (n + 1) of singularities, is a real analytic manifold of dimension 3n+4. The underlying topology agrees with the topology of uniform convergence of graphs on compact subsets of {x3 = 0}.
publishDate 2007
dc.date.none.fl_str_mv 2007
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/115306
https://doi.org/10.1007/s00229-007-0079-1
url https://hdl.handle.net/11441/115306
https://doi.org/10.1007/s00229-007-0079-1
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Manuscripta Mathematica, 122 (4), 439-463.
MTM2004-00160
https://link.springer.com/article/10.1007/s00229-007-0079-1
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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