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The principal result is that the exterior differentiation is uniquely determined geometrically, just as $\\mathrm{div}$ (ergence) and $\\mathrm{rot}$ (ation) are uniquely determined geometrically or physically in classical vector calculus. This infinitesimal characterization of exterior differentiation has been completely missing in orthodox differential geometry.", "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/2241/106825"}]}, "item_5_publisher_27": {"attribute_name": "\u51fa\u7248\u8005", "attribute_value_mlt": [{"subitem_publisher": "Academic Publications"}]}, "item_5_rights_12": {"attribute_name": "\u6a29\u5229", "attribute_value_mlt": [{"subitem_rights": "\u00a9 2010 Academic Publications"}]}, "item_5_select_15": {"attribute_name": "\u8457\u8005\u7248\u30d5\u30e9\u30b0", "attribute_value_mlt": [{"subitem_select_item": "publisher"}]}, "item_5_source_id_7": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "1311-8080", "subitem_source_identifier_type": "ISSN"}]}, "item_5_subject_20": {"attribute_name": "NII\u30b5\u30d6\u30b8\u30a7\u30af\u30c8", "attribute_value_mlt": [{"subitem_subject": "\u6570\u5b66", "subitem_subject_scheme": "Other"}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Nishimura, Hirokazu"}], "nameIdentifiers": [{"nameIdentifier": "72495", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "\u30d5\u30a1\u30a4\u30eb\u60c5\u5831", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2013-12-24"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "IJPAM_64-1_2.pdf", "filesize": [{"value": "820.5 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 820500.0, "url": {"label": "IJPAM_64-1_2.pdf", "url": "https://tsukuba.repo.nii.ac.jp/record/20599/files/IJPAM_64-1_2.pdf"}, "version_id": "1c1d7888-fc8d-4882-9a7b-289f8feb2c1d"}, {"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2013-12-24"}], "displaytype": "detail", "download_preview_message": "", "file_order": 1, "filename": "Corrigendum.pdf", "filesize": [{"value": "32.0 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 32000.0, "url": {"label": "Corrigendum.pdf", "url": "https://tsukuba.repo.nii.ac.jp/record/20599/files/Corrigendum.pdf"}, "version_id": "3061e2c4-9cd9-4fae-8b49-ef31e9cc09c9"}]}, "item_language": {"attribute_name": "\u8a00\u8a9e", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"resourcetype": "journal article", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "DIFFERENTIAL GEOMETRY OF MICROLINEAR FR\u00d6LICHER SPACES II", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "DIFFERENTIAL GEOMETRY OF MICROLINEAR FR\u00d6LICHER SPACES II"}]}, "item_type_id": "5", "owner": "1", "path": ["117/478", "3/62/5591/1067"], "permalink_uri": "http://hdl.handle.net/2241/106825", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_value": "2010-11-19"}, "publish_date": "2010-11-19", "publish_status": "0", "recid": "20599", "relation": {}, "relation_version_is_last": true, "title": ["DIFFERENTIAL GEOMETRY OF MICROLINEAR FR\u00d6LICHER SPACES II"], "weko_shared_id": null}