A RIGIDITY OF EQUIVARIANT HOLOMORPHIC MAPS INTO A COMPLEX GRASSMANNIAN INDUCED FROM ORTHOGONAL DIRECT SUMS OF HOLOMORPHIC LINE BUNDLES

Koga, Isami

Osaka Journal of Mathematics, 2018, 55(1), 165-176

アクセス数:128件（2025-07-20 20:59 集計）

固定URL: https://doi.org/10.18910/67752

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タイトル	A RIGIDITY OF EQUIVARIANT HOLOMORPHIC MAPS INTO A COMPLEX GRASSMANNIAN INDUCED FROM ORTHOGONAL DIRECT SUMS OF HOLOMORPHIC LINE BUNDLES
著者	NRID 1000060782232 1000060782232 著者名 Koga, Isami
抄録	In the present paper, we study holomorphic maps induced from orthogonal direct sums of holomorphic line bundles over a compact simply connected homogeneous Kähler manifold into a complex Grassmannian. Then we show if such maps are equivariant, then they are unique up to complex isometry.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	55(1)
ページ	165-176
刊行年月	2018-01
言語	英語
ハンドルURL	https://hdl.handle.net/11094/67752
DOI	https://doi.org/10.18910/67752
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 55, Number 1 （2018-1）

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. 2018, 55(1), p. 165-176
DC.title	A RIGIDITY OF EQUIVARIANT HOLOMORPHIC MAPS INTO A COMPLEX GRASSMANNIAN INDUCED FROM ORTHOGONAL DIRECT SUMS OF HOLOMORPHIC LINE BUNDLES
DC.creator	Koga, Isami
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	2018-01
DCTERMS.abstract	In the present paper, we study holomorphic maps induced from orthogonal direct sums of holomorphic line bundles over a compact simply connected homogeneous Kähler manifold into a complex Grassmannian. Then we show if such maps are equivariant, then they are unique up to complex isometry.
DC.identifier	10.18910/67752
DC.format	67752
citation_title	A RIGIDITY OF EQUIVARIANT HOLOMORPHIC MAPS INTO A COMPLEX GRASSMANNIAN INDUCED FROM ORTHOGONAL DIRECT SUMS OF HOLOMORPHIC LINE BUNDLES
citation_author	Koga, Isami
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2018-01
citation_journal_title	Osaka Journal of Mathematics
citation_volume	55
citation_issue	1
citation_firstpage	165
citation_lastpage	176
citation_public_url	https://hdl.handle.net/11094/67752
citation_doi_detail	10.18910/67752
citation_doi	https://doi.org/10.18910/67752