{"created":"2023-06-20T15:10:45.449879+00:00","id":7012,"links":{},"metadata":{"_buckets":{"deposit":"8771d1c5-87c8-4b43-8cac-ea2e0b2c4872"},"_deposit":{"created_by":3,"id":"7012","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"7012"},"status":"published"},"_oai":{"id":"oai:ynu.repo.nii.ac.jp:00007012","sets":["616:627:670"]},"author_link":["29998"],"control_number":"7012","item_6_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2006","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"173","bibliographicPageStart":"151","bibliographicVolumeNumber":"52","bibliographic_titles":[{"bibliographic_title":"Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学"}]}]},"item_6_description_17":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_6_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"The purpose of this paper is to study the existence of a surface in the n- dimensional Euclidean unit sphere S^{n} with prescribed Gauss map. For a given 0 infty-mapping G from a torus T^{2} into the complex quadric Q_{n-1} , we show that there exists a conformal immersion X :  hat{T}^{2} rightarrow S^{n} such that the Gauss map of the surface   S=(T^{2}, S^{n}, X) is  Go pi where  pi :  hat{T}^{2} rightarrow T^{2} is a covering map. Let G be a  c infty-mapping from a nnected Riemann surface M into Q_{n-1} . Under a certain condition for G we also show that there exists a surface defined by a  o infty-conformal immersion X from M to the n-dimensional real projective space RP^{n} with the property that a neighborhood of each point of X(M) is covered by a surface in S^{n} with prescribed Gauss map G . By using this result we give a characterization of certain tori immersed in RP^{n} .","subitem_description_type":"Abstract"}]},"item_6_publisher_35":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Yokohama City University and Yokohama National University"}]},"item_6_source_id_11":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA0089285X","subitem_source_identifier_type":"NCID"}]},"item_6_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"00440523","subitem_source_identifier_type":"ISSN"}]},"item_6_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Department of Mathematical Sciences, Yokohama City University,  22-2 Seto, Kanazawa-ku, Yokohama, 236-0027 Japan"}]},"item_6_version_type_18":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Tanaka, Ayako"}],"nameIdentifiers":[{"nameIdentifier":"29998","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2016-09-26"}],"displaytype":"detail","filename":"YMJ_52_N2_2006_151-173.pdf","filesize":[{"value":"1.6 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"YMJ_52_N2_2006_151-173.pdf","url":"https://ynu.repo.nii.ac.jp/record/7012/files/YMJ_52_N2_2006_151-173.pdf"},"version_id":"47542cc6-220f-4ecd-add7-08fbdbe91ac6"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"AN EXISTENCE THEOREM FOR A SURFACE IN S^{n} WITH A GIVEN MAP AS ITS GAUSS MAP","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"AN EXISTENCE THEOREM FOR A SURFACE IN S^{n} WITH A GIVEN MAP AS ITS GAUSS MAP","subitem_title_language":"en"}]},"item_type_id":"6","owner":"3","path":["670"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2009-12-15"},"publish_date":"2009-12-15","publish_status":"0","recid":"7012","relation_version_is_last":true,"title":["AN EXISTENCE THEOREM FOR A SURFACE IN S^{n} WITH A GIVEN MAP AS ITS GAUSS MAP"],"weko_creator_id":"3","weko_shared_id":-1},"updated":"2023-08-23T06:04:39.966136+00:00"}