EQUIGEODESICS ON GENERALIZED FLAG MANIFOLDS WITH G_2-TYPE t-ROOTS

Statha, Marina

doi:info:doi/10.18910/77235

このアイテムのアクセス数:11件（2021-03-08 07:13 集計）

このアイテムへのリンクには次のURLをご利用ください:https://doi.org/10.18910/77235

このアイテムへのリンクには次のURLをご利用ください:http://hdl.handle.net/11094/77235

閲覧可能ファイル

ファイル	フォーマット	サイズ	閲覧回数	説明
ojm57_04_871	pdf	351 KB	7

論文情報

タイトル	EQUIGEODESICS ON GENERALIZED FLAG MANIFOLDS WITH G_2-TYPE t-ROOTS
著者	Statha, Marina Statha, Marina
抄録	We study homogeneous curves in generalized flag manifolds G/K with G_2-type t-roots, which are geodesics with respect to each G-invariant metric on G/K. These curves are called equigeodesics. The tangent space of such flag manifolds splits into six isotropy summands, which are in one-to-one correspondence with t-roots. Also, these spaces are a generalization of the exceptional full flag manifold G_2/T. We give a characterization for structural equigeodesics for flag manifolds with G_2-type t-roots, and we give for each such flag manifold, a list of subspaces in which the vectors are structural equigeodesic vectors.
公開者	Osaka University and Osaka City University, Departments of Mathematics
掲載誌名	Osaka Journal of Mathematics
巻	57
号	4
開始ページ	871
終了ページ	888
刊行年月	2020-10
ISSN	00306126
NCID	AA00765910
URL	http://hdl.handle.net/11094/77235
言語	英語
DOI	info:doi/10.18910/77235
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 57, Number 4 （2020-10）

著者版フラグ	publisher
NII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.57(4) P.871-P.888
DC.title	EQUIGEODESICS ON GENERALIZED FLAG MANIFOLDS WITH G_2-TYPE t-ROOTS
DC.creator	Statha, Marina
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language" scheme="DCTERMS.RFC1766	英語
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2020-10
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/77235
DCTERMS.abstract	We study homogeneous curves in generalized flag manifolds G/K with G_2-type t-roots, which are geodesics with respect to each G-invariant metric on G/K. These curves are called equigeodesics. The tangent space of such flag manifolds splits into six isotropy summands, which are in one-to-one correspondence with t-roots. Also, these spaces are a generalization of the exceptional full flag manifold G_2/T. We give a characterization for structural equigeodesics for flag manifolds with G_2-type t-roots, and we give for each such flag manifold, a list of subspaces in which the vectors are structural equigeodesic vectors.
DC.identifier	info:doi/10.18910/77235
citation_title	EQUIGEODESICS ON GENERALIZED FLAG MANIFOLDS WITH G_2-TYPE t-ROOTS
citation_author	Statha, Marina
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2020-10
citation_journal_title	Osaka Journal of Mathematics
citation_volume	57
citation_issue	4
citation_firstpage	871
citation_lastpage	888
citation_issn	00306126
citation_public_url	http://hdl.handle.net/11094/77235
citation_doi	info:doi/10.18910/77235

閲覧可能ファイル

論文情報

論文詳細を表示