{"created":"2023-06-20T15:08:55.450239+00:00","id":4785,"links":{},"metadata":{"_buckets":{"deposit":"0ad2c733-38ac-4b72-a52a-479aa5a7fa89"},"_deposit":{"created_by":3,"id":"4785","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"4785"},"status":"published"},"_oai":{"id":"oai:ynu.repo.nii.ac.jp:00004785","sets":["500:501"]},"author_link":["22145","217","22147"],"item_2_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2011-10","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3","bibliographicPageEnd":"373","bibliographicPageStart":"361","bibliographicVolumeNumber":"40","bibliographic_titles":[{"bibliographic_title":"Hokkaido Mathematical Journal"}]}]},"item_2_description_17":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_2_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In this paper, we define a perspective projection of a given immersed n-dimensional hypersurface as a C^∞ map via a C^∞ immersion from the given n-manifold to S^$n+1$, and characterize when and only when such a perspective projection is nonsingular. In order to obtain such characterizations, we consider an immersion from an n-dimensional manifold to S^$n+1$. We first obtain equivalent conditions for a given point P of S^$n+1$ to be outside the union of tangent great hyperspheres of a given immersed n-dimensional manifold r(N) in S^$n+1$ (Theorem 2.4). It turns out that if such a point P exists then the given manifold N must be diffeomorphic to S^n and in the case that n\\geq2 the given immersion r:N→S^$n+1$ must be an embedding. Then, we obtain characterizations of a perspective projection of a given immersed n-dimensional manifold to be non-singular. Next, we obtain one more equivalent condition in terms of hedgehogs when the given N is S^n and the given immersion is an embedding (Theorem 3.3). We also explain why we consider these equivalent conditions for an embedding r:S^n→S^$n+1$ instead of an embedding r^~S^n→R^$n+1$ in terms of hedgehogs.","subitem_description_type":"Abstract"}]},"item_2_full_name_2":{"attribute_name":"著者(ヨミ)","attribute_value_mlt":[{"nameIdentifiers":[{},{}],"names":[{"name":"ニシムラ, タカシ"}]},{"nameIdentifiers":[{}],"names":[{"name":"サケミ, ユウ"}]}]},"item_2_full_name_3":{"attribute_name":"著者別名","attribute_value_mlt":[{"nameIdentifiers":[{},{}],"names":[{}]}]},"item_2_publisher_35":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Department of Mathematics, Hokkaido University"}]},"item_2_source_id_11":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA00664662","subitem_source_identifier_type":"NCID"}]},"item_2_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"03854035","subitem_source_identifier_type":"ISSN"}]},"item_2_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Research Group of Mathematical Sciences Research Institute of Environment and Information Sciences Yokohama National University"},{"subitem_text_value":"NTT COMWARE"}]},"item_2_version_type_18":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Nishimura, Takashi"}],"nameIdentifiers":[{"nameIdentifier":"217","nameIdentifierScheme":"WEKO"},{"nameIdentifier":" 80189307","nameIdentifierScheme":"e-Rad","nameIdentifierURI":"https://kaken.nii.ac.jp/ja/search/?qm= 80189307"}]},{"creatorNames":[{"creatorName":"Sakemi, Yu"}],"nameIdentifiers":[{"nameIdentifier":"22145","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2016-09-16"}],"displaytype":"detail","filename":"12.pdf","filesize":[{"value":"1.1 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"12.pdf","url":"https://ynu.repo.nii.ac.jp/record/4785/files/12.pdf"},"version_id":"c4c7fe8c-bac7-4665-8827-f9533ce4ead7"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"perspective projection","subitem_subject_scheme":"Other"},{"subitem_subject":"perspective point","subitem_subject_scheme":"Other"},{"subitem_subject":"projective dual","subitem_subject_scheme":"Other"},{"subitem_subject":"dual hypersurface","subitem_subject_scheme":"Other"},{"subitem_subject":"hedgehog","subitem_subject_scheme":"Other"}]},"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":"View from inside","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"View from inside"}]},"item_type_id":"2","owner":"3","path":["501"],"pubdate":{"attribute_name":"公開日","attribute_value":"2012-03-15"},"publish_date":"2012-03-15","publish_status":"0","recid":"4785","relation_version_is_last":true,"title":["View from inside"],"weko_creator_id":"3","weko_shared_id":3},"updated":"2023-06-20T19:29:58.940817+00:00"}