{"created":"2023-05-15T15:29:55.476642+00:00","id":19819,"links":{},"metadata":{"_buckets":{"deposit":"73f3a8d8-e339-4dff-a8fe-6b1440d03d74"},"_deposit":{"created_by":3,"id":"19819","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"19819"},"status":"published"},"_oai":{"id":"oai:sucra.repo.nii.ac.jp:00019819","sets":["94:429:431:432:1037"]},"author_link":["30655"],"control_number":"19819","item_113_alternative_title_1":{"attribute_name":"タイトル（別言語）","attribute_value_mlt":[{"subitem_alternative_title":"接触リーマン多様体のフェファーマン空間とそのローレンツスピン幾何"}]},"item_113_biblio_info_9":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2022","bibliographicIssueDateType":"Issued"}}]},"item_113_date_35":{"attribute_name":"作成日","attribute_value_mlt":[{"subitem_date_issued_datetime":"2023-01-26","subitem_date_issued_type":"Created"}]},"item_113_date_granted_20":{"attribute_name":"学位授与年月日","attribute_value_mlt":[{"subitem_dategranted":"2022-03-24"}]},"item_113_degree_grantor_22":{"attribute_name":"学位授与機関","attribute_value_mlt":[{"subitem_degreegrantor":[{"subitem_degreegrantor_name":"埼玉大学"}],"subitem_degreegrantor_identifier":[{"subitem_degreegrantor_identifier_name":"12401","subitem_degreegrantor_identifier_scheme":"kakenhi"}]}]},"item_113_degree_name_21":{"attribute_name":"学位名","attribute_value_mlt":[{"subitem_degreename":"博士(理学)"}]},"item_113_description_13":{"attribute_name":"形態","attribute_value_mlt":[{"subitem_description":"iii, 50p","subitem_description_type":"Other"}]},"item_113_description_24":{"attribute_name":"目次","attribute_value_mlt":[{"subitem_description":"序論 i\n\n1 接触リーマン多様体 1\n  1.1 接触リーマン多様体の定義とその基本事項. . . . . . .  .  . . . . 1\n  1.2 丹野接続とエルミート丹野接続. . . . . . . . . . . . . . . . . . 5\n  1.3 標準複素スピン構造. . . . . . . . . . . . . . . . . . . . . . . 14\n  \n2 フェファーマン空間 17\n  2.1 フェファーマン空間の定義. . . . . . . . . . . . . . . . . . . . . 17\n  2.2 フェファーマン空間の性質. . . . . . . . .  . . . . . . . . . . . 21\n  \n3 ローレンツスピン幾何 23\n  3.1 ローレンツ計量とローレンツスピン構造. . . . . . . . . . . . . . . 23\n  3.2 クリフォード表現とスピノール束. . . . . . . . . . . . . . . . . . 25\n  3.3 ディラック作用素とペンローズ作用素. . . . . . . . . . . . . . . . 27\n  \n4 フェファーマン空間のローレンツスピン幾何 30\n  4.1 標準ローレンツスピン構造. . . . . . . . . . . . . . . . . . . . . 30\n      4.1.1 標準ローレンツスピン構造. . . . . . . . . . . . . . . . . . 30\n      4.1.2 スピノール束とクリフォード作用. . . . . . . . . . . . . 32\n  4.2 フェファーマン空間のローレンツスピン幾何. . . . . . . . . . . 33\n      4.2.1 標準ローレンツスピン構造のスピノール接続. . . . . . . . 34\n      4.2.2 標準ローレンツスピン構造のトゥイスタースピノール. 37\n  4.3 フェファーマン・バウム空間. . . . . . . . . . . . . . . . . . . 40\n      4.3.1 ローレンツスピン構造. . . . . . . . . . . . . . . . . . . 41\n      4.3.2 トゥイスタースピノール. . . . . . . . . . . . . . . . . . 41\n     \n5 正定値フェファーマン空間 43\n  5.1 正定値フェファーマン空間の概複素構造. . . . . . . . . . . . . . 43\n      5.1.1 基本２次形式. . . . . . . . . . . . . . . . . . . . . . . 44\n      5.1.2 可積分性. . . . . . . . . . . . . . . . . . . . . . . . . . 45\n  5.2 リーマン沈めこみ. . . . . . . . . . . . . . . . . . . . . . . . . 47\n  \n参考文献 49","subitem_description_type":"Other"}]},"item_113_description_25":{"attribute_name":"注記","attribute_value_mlt":[{"subitem_description":"主指導教員 : 下川航也","subitem_description_type":"Other"}]},"item_113_description_33":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"subitem_description":"text","subitem_description_type":"Other"}]},"item_113_description_34":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_113_dissertation_number_19":{"attribute_name":"学位授与番号","attribute_value_mlt":[{"subitem_dissertationnumber":"甲第1243号"}]},"item_113_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.24561/00019788","subitem_identifier_reg_type":"JaLC"}]},"item_113_publisher_11":{"attribute_name":"出版者名","attribute_value_mlt":[{"subitem_publisher":"埼玉大学大学院理工学研究科"}]},"item_113_publisher_12":{"attribute_name":"出版者名（別言語）","attribute_value_mlt":[{"subitem_publisher":"Graduate School of Science and Engineering, Saitama 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