{"created":"2023-05-15T13:44:38.037913+00:00","id":1083,"links":{},"metadata":{"_buckets":{"deposit":"999dcca1-9c85-437a-aea9-d3eda16294ce"},"_deposit":{"created_by":1,"id":"1083","owners":[1],"pid":{"revision_id":0,"type":"depid","value":"1083"},"status":"published"},"_oai":{"id":"oai:chuo-u.repo.nii.ac.jp:00001083","sets":["88"]},"author_link":["23329"],"item_2_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2013-01-15","bibliographicIssueDateType":"Issued"},"bibliographicVolumeNumber":"101","bibliographic_titles":[{"bibliographic_title":"数学科プレプリントシリーズ"},{"bibliographic_title":"PREPRINT SERIES","bibliographic_titleLang":"en"}]}]},"item_2_description_20":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_2_description_6":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We review the interpretation of the helicity of the velocity fields of incompressible fluids on closed 3-manifolds as the asymptotic linking pairing of vorticity fields and further develop this point of view. For codimension 1 foliated manifolds, this idea has a strong relation with the 1st foliated cohomology and the secondary invariants, such as the Godbillon-Vey invariant and the Reeb class. The main purpose of the present article is, based on these frameworks, to give a description of the space of velocity fields of incompressible fluids which are holonomically constrained to the leaves of a foliated 3-manifold. In particular for algebraic Anosov foliations we see how these ideas work effectively to understand the space of incompressible foliated flows.","subitem_description_type":"Abstract"}]},"item_2_full_name_5":{"attribute_name":"著者別名","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"23329","nameIdentifierScheme":"WEKO"}],"names":[{"name":"三松, 佳彦"}]}]},"item_2_publisher_9":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"中央大学理工学部数学科"}]},"item_2_rights_16":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"この資料の著作権は、資料の著作者または学校法人中央大学に帰属します。著作権法が定める私的利用・引用を超える使用を希望される場合には、掲載誌発行部局へお問い合わせください。"}]},"item_2_version_type_21":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_b1a7d7d4d402bcce","subitem_version_type":"AO"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"MITSUMATSU, Yoshihiko","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"23329","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":"2019-04-22"}],"displaytype":"detail","filename":"MATH_preprint~101.pdf","filesize":[{"value":"592.5 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"本文を見る(PDFファイル)","url":"https://chuo-u.repo.nii.ac.jp/record/1083/files/MATH_preprint~101.pdf"},"version_id":"7f9757f0-6cc6-48de-bcc8-5c06cd261243"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"helicity","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"asymptotic linking","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"foliated cohomology","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"algebraic Anosov foliations","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"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":"other","resourceuri":"http://purl.org/coar/resource_type/c_1843"}]},"item_title":"Helicity in differential topology and incompressible fluids on foliated 3-manifolds","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Helicity in differential topology and incompressible fluids on foliated 3-manifolds","subitem_title_language":"en"}]},"item_type_id":"2","owner":"1","path":["88"],"pubdate":{"attribute_name":"公開日","attribute_value":"2013-06-05"},"publish_date":"2013-06-05","publish_status":"0","recid":"1083","relation_version_is_last":true,"title":["Helicity in differential topology and incompressible fluids on foliated 3-manifolds"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2023-05-15T18:50:09.162386+00:00"}