{"_buckets": {"deposit": "9129921c-aa09-4f6d-9bfe-b100689442ff"}, "_deposit": {"id": "40019", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "40019"}, "status": "published"}, "_oai": {"id": "oai:repository.dl.itc.u-tokyo.ac.jp:00040019"}, "item_4_biblio_info_7": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2012-10-22", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "3", "bibliographicPageEnd": "307", "bibliographicPageStart": "281", "bibliographicVolumeNumber": "19", "bibliographic_titles": [{"bibliographic_title": "Journal of mathematical sciences, the University of Tokyo"}]}]}, "item_4_description_5": {"attribute_name": "\u6284\u9332", "attribute_value_mlt": [{"subitem_description": "Let G be a Lie group and H a connected Lie subgroup of G. Given any discontinuous subgroup \u0393 for the homogeneous space X = G/H and any deformation of \u0393, the deformed discrete subgroup may fail to be discontinuous for X. To understand this phenomenon in the case when G is a two-step nilpotent Lie group,  we provide a stratification of the deformation space of the action of \u0393 on  X, which depends upon the dimensions of G-adjoint orbits. As a direct consequence, a rigidity Theorem is given and a certain sufficient condition for the stability property is derived. We also discuss the Hausdorff property of the associated deformation space.", "subitem_description_type": "Abstract"}]}, "item_4_publisher_20": {"attribute_name": "\u51fa\u7248\u8005", "attribute_value_mlt": [{"subitem_publisher": "Graduate School of Mathematical Sciences, The University of Tokyo"}]}, "item_4_source_id_10": {"attribute_name": "\u66f8\u8a8c\u30ec\u30b3\u30fc\u30c9ID", "attribute_value_mlt": [{"subitem_source_identifier": "AA11021653", "subitem_source_identifier_type": "NCID"}]}, "item_4_source_id_8": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "13405705", "subitem_source_identifier_type": "ISSN"}]}, "item_4_subject_15": {"attribute_name": "\u65e5\u672c\u5341\u9032\u5206\u985e\u6cd5", "attribute_value_mlt": [{"subitem_subject": "415", "subitem_subject_scheme": "NDC"}]}, "item_4_text_16": {"attribute_name": "Mathematical Reviews Number", "attribute_value_mlt": [{"subitem_text_value": "MR"}]}, "item_4_text_17": {"attribute_name": "Mathmatical Subject Classification", "attribute_value_mlt": [{"subitem_text_value": "22E25(MSC2010)"}, {"subitem_text_value": "22G15(MSC2010)"}]}, "item_4_text_33": {"attribute_name": "\u539f\u7a3f\u53d7\u9818\u65e5", "attribute_value_mlt": [{"subitem_text_value": "2011-12-02"}]}, "item_4_text_34": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"subitem_text_value": "Departmental Bulletin Paper"}]}, "item_4_text_4": {"attribute_name": "\u8457\u8005\u6240\u5c5e", "attribute_value_mlt": [{"subitem_text_value": "Department of Mathematics, Faculty of Sciences at Sfax"}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Baklouti, Ali"}], "nameIdentifiers": [{"nameIdentifier": "92457", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "ElAloui, Nasreddine"}], "nameIdentifiers": [{"nameIdentifier": "92458", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "K\u00e9dim, Imed"}], "nameIdentifiers": [{"nameIdentifier": "92459", "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": "2017-06-14"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "jms190302.pdf", "filesize": [{"value": "205.8 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 205800.0, "url": {"label": "jms190302.pdf", "url": "https://repository.dl.itc.u-tokyo.ac.jp/record/40019/files/jms190302.pdf"}, "version_id": "4edbdc0e-8771-4baa-88d9-85a233156b86"}]}, "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": "departmental bulletin paper", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "A rigidity Theorem and a Stability Theorem for two-step nilpotent Lie groups", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "A rigidity Theorem and a Stability Theorem for two-step nilpotent Lie groups"}]}, "item_type_id": "4", "owner": "1", "path": ["312/6865/6899/6903", "9/504/6868/6901/6904"], "permalink_uri": "http://hdl.handle.net/2261/55427", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_value": "2013-10-23"}, "publish_date": "2013-10-23", "publish_status": "0", "recid": "40019", "relation": {}, "relation_version_is_last": true, "title": ["A rigidity Theorem and a Stability Theorem for two-step nilpotent Lie groups"], "weko_shared_id": null}