ON THE CLASSIFICATION OF HOMOGENEOUS 2-SPHERES IN COMPLEX GRASSMANNIANS

Fei, Jie; Jiao, Xiaoxiang; Xiao, Liang; Xu, Xiaowei

doi:https://doi.org/10.18910/24475

ON THE CLASSIFICATION OF HOMOGENEOUS 2-SPHERES IN COMPLEX GRASSMANNIANS

Fei, Jie; Jiao, Xiaoxiang; Xiao, Liang et al.

Osaka Journal of Mathematics, 2013, 50(1), 135-152

アクセス数:269件（2025-07-16 08:31 集計）

固定URL: https://doi.org/10.18910/24475

閲覧可能ファイル

ファイル	フォーマット	利用条件	サイズ	閲覧回数	利用開始日	説明	information
ojm50_01_135	pdf	なし	268 KB	150	2013.04.02

論文情報

ファイル出力 EndNote Basic出力 Mendeley出力

タイトル	ON THE CLASSIFICATION OF HOMOGENEOUS 2-SPHERES IN COMPLEX GRASSMANNIANS
著者	著者名 Fei, Jie
	著者名 Jiao, Xiaoxiang
	著者名 Xiao, Liang
	著者名 Xu, Xiaowei
抄録	In this paper we discuss a classification problem of homogeneous 2-spheres in the complex Grassmann manifold G(kC1, nC1) by theory of unitary representations of the 3-dimensional special unitary group SU(2). First we observe that if an immersion x W S＾2 ! G(k C 1, n C 1) is homogeneous, then its image x(S＾2) is a 2-dimensional _(SU(2))-orbit in G(k C1, nC1), where _W SU(2)!U(nC1) is a unitary representation of SU(2). Then we give a classification theorem of homogeneous 2-spheres in G(k C1, n C1). As an application we describe explicitly all homogeneous 2-spheres in G(2, 4). Also we mention about an example of non-homogeneous holomorphic 2-sphere with constant curvature in G(2, 4).
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	50(1)
ページ	135-152
刊行年月	2013-03
言語	英語
ハンドルURL	https://hdl.handle.net/11094/24475
DOI	https://doi.org/10.18910/24475
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 50, Number 1　(2013-3）

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2013, 50(1), p. 135-152
DC.title	ON THE CLASSIFICATION OF HOMOGENEOUS 2-SPHERES IN COMPLEX GRASSMANNIANS
DC.creator	Fei, Jie
	Jiao, Xiaoxiang
	Xiao, Liang
	Xu, Xiaowei
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2013-03
DCTERMS.abstract	In this paper we discuss a classification problem of homogeneous 2-spheres in the complex Grassmann manifold G(kC1, nC1) by theory of unitary representations of the 3-dimensional special unitary group SU(2). First we observe that if an immersion x W S＾2 ! G(k C 1, n C 1) is homogeneous, then its image x(S＾2) is a 2-dimensional _(SU(2))-orbit in G(k C1, nC1), where _W SU(2)!U(nC1) is a unitary representation of SU(2). Then we give a classification theorem of homogeneous 2-spheres in G(k C1, n C1). As an application we describe explicitly all homogeneous 2-spheres in G(2, 4). Also we mention about an example of non-homogeneous holomorphic 2-sphere with constant curvature in G(2, 4).
DC.identifier	10.18910/24475
DC.format	24475
citation_title	ON THE CLASSIFICATION OF HOMOGENEOUS 2-SPHERES IN COMPLEX GRASSMANNIANS
citation_author	Fei, Jie
	Jiao, Xiaoxiang
	Xiao, Liang
	Xu, Xiaowei
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2013-03
citation_journal_title	Osaka Journal of Mathematics
citation_volume	50
citation_issue	1
citation_firstpage	135
citation_lastpage	152
citation_public_url	https://hdl.handle.net/11094/24475
citation_doi_detail	10.18910/24475
citation_doi	https://doi.org/10.18910/24475

ON THE CLASSIFICATION OF HOMOGENEOUS 2-SPHERES IN COMPLEX GRASSMANNIANS

閲覧可能ファイル

論文情報

論文詳細を表示