@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-tel-00802379v1> a dcat:Dataset ;
    dct:description """
              This thesis is devoted to the construction of numerous examples of minimal surfaces (or hypersurfaces) in the 3-Euclidean space, R^n x R with n≻2 or in the homogeneous space S² x R . We prove the existence of minimal surfaces in R³ as close as we want of a convex polygon. We prove the existence of minimal hypersurfaces in R^n x R, n≻2, whose have Riemann's type. These ones could be considered as a family of horizontal hyperplanes (the ends) which are linked to each other by pieces of deformed catenoids (the necks). We provide a general result in the case simply-periodic together with the case of a finite number of hyperplanar ends. Our construction lies on some conditions associates with the forces that characterize the different configurations. We end with giving some examples ; in particular, we exhibit the existence of vertical Wei example that does not exists in the 3-dimensional case. We also prove the existence of the analogous of the Wei example in S² x R. The surface is such that two spherical ends are linked by 1 neck and 2 necks alternatively. Here again, we highlight the role that the forces play in the construction. Moreover, like in the previous chapter, the method lies on a gluing process. We give an accurate description of the catenoid and the Riemann's minimal example in S² x R. Finally, we demonstrate the existence of Scherk type hypersurfaces in R^n x R when n≻2
            """ ;
    dct:identifier "NNT: 2012PEST1069" ;
    dct:issued "2026-05-12T06:54:42.897218"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-12T06:54:42.897226"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Deformation and construction of minimal surfaces" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-tel-00802379v1/resource/716716b0-c3e5-4fd2-9405-a8630d6a2d37> ;
    dcat:keyword "espace-homogene",
        "geometrie-riemanienne",
        "gluing-method",
        "homogeneous-space",
        "infoeu-reposemanticsdoctoralthesis",
        "mathmath-gmmathematics-mathgeneral-mathematics-mathgm",
        "methode-de-recollement",
        "minimal-manifold",
        "riemannian-geometry",
        "riemanns-surface",
        "scherks-surface",
        "surface-de-riemann",
        "surface-de-scherk",
        "surface-minimale",
        "theses" ;
    dcat:landingPage <https://theses.hal.science/tel-00802379> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-tel-00802379v1/resource/716716b0-c3e5-4fd2-9405-a8630d6a2d37> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-12T06:54:42.995739"^^xsd:dateTime ;
    dct:modified "2026-05-12T06:54:42.868589"^^xsd:dateTime ;
    dct:title "Deformation and construction of minimal surfaces" ;
    dcat:accessURL <https://theses.hal.science/tel-00802379> .

<https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> a foaf:Agent ;
    foaf:name "test_moissonnage_selune" .

<https://theses.hal.science/tel-00802379> a foaf:Document .