{"created":"2021-03-01T06:53:51.840049+00:00","id":16783,"links":{},"metadata":{"_buckets":{"deposit":"7e0f38fb-d371-4724-be04-64d47bee911d"},"_deposit":{"id":"16783","owners":[],"pid":{"revision_id":0,"type":"depid","value":"16783"},"status":"published"},"_oai":{"id":"oai:tsukuba.repo.nii.ac.jp:00016783","sets":["117:478","3:62:5297:375"]},"item_5_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2004","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"696","bibliographicPageStart":"677","bibliographicVolumeNumber":"45","bibliographic_titles":[{"bibliographic_title":"Beiträge zur Algebra und Geometrie"}]}]},"item_5_creator_3":{"attribute_name":"著者別名","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"西村, 泰一"}],"nameIdentifiers":[{},{},{}]}]},"item_5_description_14":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_5_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In our previous papers (Nishimura [2001 and 2003]) we dealt with jet bundles from a synthetic perch by regarding a 1-jet as something like a pinpointed (nonlinear) connection (called a preconnection) and then looking on higher-order jets as repeated 1-jets. In this paper we generalize our notion of preconnection to higher orders, which enables us to develop a non-repetitive but still synthetic approach to jet bundles. Both our repetitive and non-repetitive approaches are coordinate-free and applicable to microlinear spaces in general. In our non-repetitive approach we can establish a theorem claiming that the $(n+1)$-th jet space is an affine bundle over the $n$-th jet space, while we have not been able to do so in our previous repetitive approach. We will show how to translate repeated 1-jets into higher-order preconnections. Finally we will demonstrate that our repetitive and non-repetitive approaches to jet bundles tally, as far as formal manifolds are concerned.","subitem_description_type":"Abstract"}]},"item_5_identifier_34":{"attribute_name":"URI","attribute_value_mlt":[{"subitem_identifier_type":"HDL","subitem_identifier_uri":"http://hdl.handle.net/2241/100309"}]},"item_5_publisher_27":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Heldermann Verlag"}]},"item_5_rights_12":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"© 2004 Heldermann Verlag"}]},"item_5_select_15":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"author"}]},"item_5_source_id_7":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0138-4821","subitem_source_identifier_type":"ISSN"}]},"item_5_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA00558880","subitem_source_identifier_type":"NCID"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Nishimura, Hirokazu"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2013-12-19"}],"displaytype":"detail","filename":"BAG_45-2.pdf","filesize":[{"value":"1.9 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"BAG_45-2.pdf","url":"https://tsukuba.repo.nii.ac.jp/record/16783/files/BAG_45-2.pdf"},"version_id":"30b2c5d1-d805-4af8-9543-84307d9ac162"}]},"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":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Higher-Order Preconnections in Synthetic Differential Geometry of Jet Bundles","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Higher-Order Preconnections in Synthetic Differential Geometry of Jet Bundles"}]},"item_type_id":"5","owner":"1","path":["478","375"],"pubdate":{"attribute_name":"公開日","attribute_value":"2008-08-25"},"publish_date":"2008-08-25","publish_status":"0","recid":"16783","relation_version_is_last":true,"title":["Higher-Order Preconnections in Synthetic Differential Geometry of Jet Bundles"],"weko_creator_id":"1","weko_shared_id":5},"updated":"2022-04-27T09:34:51.767650+00:00"}