SELF-SIMILAR SOLUTIONS TO THE MEAN CURVATURE FLOWS ON RIEMANNIAN CONE MANIFOLDS AND SPECIAL LAGRANGIANS ON TORIC CALABI–YAU CONES

Hattori, Kota; Yamamoto, Hikaru; Futaki, Akito

doi:https://doi.org/10.18910/50982

SELF-SIMILAR SOLUTIONS TO THE MEAN CURVATURE FLOWS ON RIEMANNIAN CONE MANIFOLDS AND SPECIAL LAGRANGIANS ON TORIC CALABI–YAU CONES

Hattori, Kota; Yamamoto, Hikaru; Futaki, Akito

Osaka Journal of Mathematics, 2014, 51(4), 1053-1079

アクセス数:391件（2026-11-02 10:33 集計）

固定URL: https://doi.org/10.18910/50982

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タイトル	SELF-SIMILAR SOLUTIONS TO THE MEAN CURVATURE FLOWS ON RIEMANNIAN CONE MANIFOLDS AND SPECIAL LAGRANGIANS ON TORIC CALABI–YAU CONES
著者	著者名 Hattori, Kota
	NRID 1000080376574 1000080376574 著者名 Yamamoto, Hikaru
	NRID 1000090143247 1000090143247 著者名 Futaki, Akito
抄録	The self-similar solutions to the mean curvature flow have been defined and studied on the Euclidean space. In this paper we propose a general treatment of the selfsimilar solutions to the mean curvature flow on Riemannian cone manifolds. As a typical result we extend the well-known result of Huisken about the asymptotic behavior for the singularities of the mean curvature flows. We also extend results on special Lagrangian submanifolds on C^<n> to the toric Calabi–Yau cones over Sasaki–Einstein manifolds.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	51(4)
ページ	1053-1079
刊行年月	2014-10
言語	英語
ハンドルURL	https://hdl.handle.net/11094/50982
DOI	https://doi.org/10.18910/50982
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 51, Number 4　(2014-10）

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. 2014, 51(4), p. 1053-1079
DC.title	SELF-SIMILAR SOLUTIONS TO THE MEAN CURVATURE FLOWS ON RIEMANNIAN CONE MANIFOLDS AND SPECIAL LAGRANGIANS ON TORIC CALABI–YAU CONES
DC.creator	Hattori, Kota
	Yamamoto, Hikaru
	Futaki, Akito
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	2014-10
DCTERMS.abstract	The self-similar solutions to the mean curvature flow have been defined and studied on the Euclidean space. In this paper we propose a general treatment of the selfsimilar solutions to the mean curvature flow on Riemannian cone manifolds. As a typical result we extend the well-known result of Huisken about the asymptotic behavior for the singularities of the mean curvature flows. We also extend results on special Lagrangian submanifolds on C^<n> to the toric Calabi–Yau cones over Sasaki–Einstein manifolds.
DC.identifier	10.18910/50982
DC.format	50982
citation_title	SELF-SIMILAR SOLUTIONS TO THE MEAN CURVATURE FLOWS ON RIEMANNIAN CONE MANIFOLDS AND SPECIAL LAGRANGIANS ON TORIC CALABI–YAU CONES
citation_author	Hattori, Kota
	Yamamoto, Hikaru
	Futaki, Akito
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2014-10
citation_journal_title	Osaka Journal of Mathematics
citation_volume	51
citation_issue	4
citation_firstpage	1053
citation_lastpage	1079
citation_public_url	https://hdl.handle.net/11094/50982
citation_doi_detail	10.18910/50982
citation_doi	https://doi.org/10.18910/50982

SELF-SIMILAR SOLUTIONS TO THE MEAN CURVATURE FLOWS ON RIEMANNIAN CONE MANIFOLDS AND SPECIAL LAGRANGIANS ON TORIC CALABI–YAU CONES

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