dc.creator | Alarcón, Antonio | es |
dc.creator | Fernández Delgado, Isabel | es |
dc.creator | López, Francisco J. | es |
dc.date.accessioned | 2020-02-20T09:40:24Z | |
dc.date.available | 2020-02-20T09:40:24Z | |
dc.date.issued | 2013 | |
dc.identifier.citation | Alarcón, A., Fernández Delgado, I. y López, F.J. (2013). Harmonic mappings and conformal minimal immersions of Riemann surfaces into RN. Calculus of Variations and Partial Differential Equations, 47 (1-2), 227-242. | |
dc.identifier.issn | 0944-2669 | es |
dc.identifier.uri | https://hdl.handle.net/11441/93474 | |
dc.description.abstract | We prove that for any open Riemann surface N, natural number N ≥ 3, non-constant harmonic map h:N→R N−2 and holomorphic 2-form H on N , there exists a weakly complete harmonic map X=(Xj)j=1,…,\scN:N→R\scN with Hopf differential H and (Xj)j=3,…,\scN=h. In particular, there exists a complete conformal minimal immersion Y=(Yj)j=1,…,\scN:N→R\scN such that (Yj)j=3,…,\scN=h . As some consequences of these results (1) there exist complete full non-decomposable minimal surfaces with arbitrary conformal structure and whose generalized Gauss map is non-degenerate and fails to intersect N hyperplanes of CP\scN−1 in general position. (2) There exist complete non-proper embedded minimal surfaces in R\scN, ∀\scN>3. | es |
dc.description.sponsorship | Ministerio de Ciencia y Tecnología MTM2007-61775 | es |
dc.description.sponsorship | Ministerio de Ciencia y Tecnología MTM2007-64504 | es |
dc.description.sponsorship | Junta de Andalucía P09-FQM-5088 | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Calculus of Variations and Partial Differential Equations, 47 (1-2), 227-242. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Complete minimal surfaces | es |
dc.subject | Harmonic mapping of Riemann surfaces | es |
dc.subject | Gauss map | es |
dc.title | Harmonic mappings and conformal minimal immersions of Riemann surfaces into RN | 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 | MTM2007-61775 | es |
dc.relation.projectID | MTM2007-64504 | es |
dc.relation.projectID | P09-FQM-5088 | es |
dc.relation.publisherversion | https://link.springer.com/article/10.1007%2Fs00526-012-0517-0 | es |
dc.identifier.doi | 10.1007/s00526-012-0517-0 | es |
idus.format.extent | 14 | es |
dc.journaltitle | Calculus of Variations and Partial Differential Equations | es |
dc.publication.volumen | 47 | |
dc.publication.issue | 1-2 | es |
dc.publication.initialPage | 227 | es |
dc.publication.endPage | 242 | es |
dc.identifier.sisius | 20311642 | es |