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

Statha, Marina

doi:https://doi.org/10.18910/77235

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

Statha, Marina

Osaka Journal of Mathematics, 2020, 57(4), 871-888

アクセス数:105件（2025-07-01 15:13 集計）

固定URL: https://doi.org/10.18910/77235

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タイトル	EQUIGEODESICS ON GENERALIZED FLAG MANIFOLDS WITH G_2-TYPE t-ROOTS
著者	著者名 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.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	57(4)
ページ	871-888
刊行年月	2020-10
言語	英語
ハンドルURL	https://hdl.handle.net/11094/77235
DOI	https://doi.org/10.18910/77235
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 57, Number 4 （2020-10）

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. 2020, 57(4), p. 871-888
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
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2020-10
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	10.18910/77235
DC.format	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_public_url	https://hdl.handle.net/11094/77235
citation_doi_detail	10.18910/77235
citation_doi	https://doi.org/10.18910/77235

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

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