{"created":"2025-02-21T03:37:24.991972+00:00","id":2006970,"links":{},"metadata":{"_buckets":{"deposit":"e654b671-7a26-457e-8b1a-b1bd8a3f46aa"},"_deposit":{"created_by":41,"id":"2006970","owners":[41],"pid":{"revision_id":0,"type":"depid","value":"2006970"},"status":"published"},"_oai":{"id":"oai:hiroshima.repo.nii.ac.jp:02006970","sets":["1730444907710"]},"author_link":[],"item_1617186331708":{"attribute_name":"Title","attribute_value_mlt":[{"subitem_title":"Stable unextendibility of vector bundles over the quaternionic projective spaces","subitem_title_language":"en"}]},"item_1617186419668":{"attribute_name":"Creator","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Imaoka, Mitsunori","creatorNameLang":"en"}],"familyNames":[{"familyName":"Imaoka","familyNameLang":"en"}],"givenNames":[{"givenName":"Mitsunori","givenNameLang":"en"}]}]},"item_1617186476635":{"attribute_name":"Access Rights","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_1617186609386":{"attribute_name":"Subject","attribute_value_mlt":[{"subitem_subject":"vector bundle","subitem_subject_scheme":"Other"},{"subitem_subject":"extendible","subitem_subject_scheme":"Other"},{"subitem_subject":"quaternionic projective space","subitem_subject_scheme":"Other"},{"subitem_subject":"Pontrjagin class","subitem_subject_scheme":"Other"},{"subitem_subject":"Stiefel-Whitney class","subitem_subject_scheme":"Other"},{"subitem_subject":"410","subitem_subject_scheme":"NDC"}]},"item_1617186626617":{"attribute_name":"Description","attribute_value_mlt":[{"subitem_description":"We study the stable unextendibility of vector bundles over the quaternionic projective space HP^n by making use of combinatorial properties of the Stiefel-Whitney classes and the Pontrjagin classes. First, we show that the tangent bundle of HP^n is not stably extendible to HP^<n+1> for n ≥ 2, and also induce such a result for the normal bundle associated to an immersion of HP^n into R^<4n+k>. Secondly, we show a sufficient condition for a quaternionic r-dimensional vector bundle over HP^n not to be stably extendible to HP^<n+l> for r ≤ n and l > 0, which is also a necessary condition when r = n and l = 1.","subitem_description_language":"en"}]},"item_1617186643794":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_publisher":"Department of Mathematics, Graduate School of Science, Hiroshima University"}]},"item_1617186702042":{"attribute_name":"Language","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_1617186920753":{"attribute_name":"Source Identifier","attribute_value_mlt":[{"subitem_source_identifier":"0018-2079","subitem_source_identifier_type":"ISSN"},{"subitem_source_identifier":"AA00664323","subitem_source_identifier_type":"NCID"}]},"item_1617187024783":{"attribute_name":"Page Start","attribute_value_mlt":[{"subitem_start_page":"343"}]},"item_1617187056579":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2003-11","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3","bibliographicPageEnd":"357","bibliographicPageStart":"343","bibliographicVolumeNumber":"33","bibliographic_titles":[{"bibliographic_title":"Hiroshima Mathematical Journal"},{"bibliographic_title":"Hiroshima Mathematical Journal"}]}]},"item_1617258105262":{"attribute_name":"Resource Type","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_1617265215918":{"attribute_name":"Version Type","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_1617605131499":{"attribute_name":"File","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2023-03-18"}],"displaytype":"simple","filename":"HiroshimaMathJ_33_343.pdf","filesize":[{"value":"493.8 KB"}],"mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://hiroshima.repo.nii.ac.jp/record/2006970/files/HiroshimaMathJ_33_343.pdf"},"version_id":"fa6c8025-7f27-451d-8514-c7b924f50bff"}]},"item_1732771732025":{"attribute_name":"旧ID","attribute_value":"29831"},"item_title":"Stable unextendibility of vector bundles over the quaternionic projective spaces","item_type_id":"40003","owner":"41","path":["1730444907710"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2023-03-18"},"publish_date":"2023-03-18","publish_status":"0","recid":"2006970","relation_version_is_last":true,"title":["Stable unextendibility of vector bundles over the quaternionic projective spaces"],"weko_creator_id":"41","weko_shared_id":-1},"updated":"2025-02-21T08:52:25.271466+00:00"}