dc.creator | Fernández Delgado, Isabel | es |
dc.creator | López, Francisco J. | es |
dc.date.accessioned | 2021-07-07T08:00:56Z | |
dc.date.available | 2021-07-07T08:00:56Z | |
dc.date.issued | 2007 | |
dc.identifier.citation | Fernández Delgado, I. y López, F.J. (2007). Periodic maximal surfaces in the Lorentz–Minkowski space L3. Mathematische Zeitschrift, 256 (3), 573-601. | |
dc.identifier.issn | 0025-5874 | es |
dc.identifier.uri | https://hdl.handle.net/11441/115299 | |
dc.description.abstract | A maximal surface S with isolated singularities in a complete flat Lorentzian 3-manifold
N is said to be entire if it lifts to a (periodic) entire multigraph S˜ in L3 In addition, S is
.
called of finite type if it has finite topology, finitely many singular points and S˜ is a finitely
sheeted multigraph. Complete (or proper) maximal immersions with isolated singularities in
N are entire, and entire embedded maximal surfaces in N with a finite number of singularities
are of finite type.
We classify complete flat Lorentzian 3-manifolds carrying entire maximal surfaces of finite
type, and deal with the topology, Weierstrass representation and asymptotic behavior of this
kind of surfaces.
Finally, we construct new examples of periodic entire embedded maximal surfaces in L3
with fundamental piece having finitely many singularities. | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia MTM2004-00160 | es |
dc.format | application/pdf | es |
dc.format.extent | 27 | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Mathematische Zeitschrift, 256 (3), 573-601. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Periodic maximal surfaces in the Lorentz–Minkowski space L3 | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.relation.projectID | MTM2004-00160 | es |
dc.relation.publisherversion | https://link.springer.com/article/10.1007/s00209-006-0087-y | es |
dc.identifier.doi | 10.1007/s00209-006-0087-y | es |
dc.journaltitle | Mathematische Zeitschrift | es |
dc.publication.volumen | 256 | es |
dc.publication.issue | 3 | es |
dc.publication.initialPage | 573 | es |
dc.publication.endPage | 601 | es |
dc.identifier.sisius | 6693274 | es |
dc.contributor.funder | Ministerio de Educación y Ciencia (MEC). España | es |