GRAPHICAL TRANSLATING SOLITONS FOR THE INVERSE MEAN CURVATURE FLOW AND ISOPARAMETRIC FUNCTIONS

Fujii, Tomoki

doi:https://doi.org/10.18910/101123

GRAPHICAL TRANSLATING SOLITONS FOR THE INVERSE MEAN CURVATURE FLOW AND ISOPARAMETRIC FUNCTIONS

Fujii, Tomoki

Osaka Journal of Mathematics, 2025, 62(2), 169-183

アクセス数:169件（2026-02-16 01:32 集計）

固定URL: https://doi.org/10.18910/101123

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タイトル	GRAPHICAL TRANSLATING SOLITONS FOR THE INVERSE MEAN CURVATURE FLOW AND ISOPARAMETRIC FUNCTIONS
著者	著者名 Fujii, Tomoki
抄録	In this paper, we consider a translating soliton for the inverse mean curvature flow given as a graph of a function on a domain in a unit sphere whose level sets give isoparametric foliation. First, we show that such function is given as a composition of an isoparametric function on the unit sphere and a function which is given as a solution of a certain ordinary differential equation. Further, we analyze the shape of the graphs of the solutions of the ordinary differential equation. This analysis leads to the classification of the shape of such translating solitons for the inverse mean curvature flow.
出版者	Departments of Mathematics, The University of Osaka and Osaka Metropolitan University
収録物名	Osaka Journal of Mathematics
巻(号)	62(2)
ページ	169-183
刊行年月	2025-04
言語	英語
ハンドルURL	https://hdl.handle.net/11094/101123
DOI	https://doi.org/10.18910/101123
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 62, Number 2 （2025-04）

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. 2025, 62(2), p. 169-183
DC.title	GRAPHICAL TRANSLATING SOLITONS FOR THE INVERSE MEAN CURVATURE FLOW AND ISOPARAMETRIC FUNCTIONS
DC.creator	Fujii, Tomoki
DC.publisher	Departments of Mathematics, The University of Osaka and Osaka Metropolitan University
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2025-04
DCTERMS.abstract	In this paper, we consider a translating soliton for the inverse mean curvature flow given as a graph of a function on a domain in a unit sphere whose level sets give isoparametric foliation. First, we show that such function is given as a composition of an isoparametric function on the unit sphere and a function which is given as a solution of a certain ordinary differential equation. Further, we analyze the shape of the graphs of the solutions of the ordinary differential equation. This analysis leads to the classification of the shape of such translating solitons for the inverse mean curvature flow.
DC.identifier	10.18910/101123
DC.format	101123
citation_title	GRAPHICAL TRANSLATING SOLITONS FOR THE INVERSE MEAN CURVATURE FLOW AND ISOPARAMETRIC FUNCTIONS
citation_author	Fujii, Tomoki
citation_publisher	Departments of Mathematics, The University of Osaka and Osaka Metropolitan University
citation_language	英語
citation_date	2025-04
citation_journal_title	Osaka Journal of Mathematics
citation_volume	62
citation_issue	2
citation_firstpage	169
citation_lastpage	183
citation_public_url	https://hdl.handle.net/11094/101123
citation_doi_detail	10.18910/101123
citation_doi	https://doi.org/10.18910/101123

GRAPHICAL TRANSLATING SOLITONS FOR THE INVERSE MEAN CURVATURE FLOW AND ISOPARAMETRIC FUNCTIONS

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