SPECTRUM OF GENERALIZED HODGE-LAPLACE OPERATORS ON FLAT TORI AND ROUND SPHERES

アクセス数:88件（2024-04-26 03:55 集計）

固定URL: https://doi.org/10.18910/75918

ファイル	フォーマット	利用条件	サイズ	閲覧回数	利用開始日	説明	information
ojm57_02_357	pdf	なし	210 KB	45	2020.05.27

タイトル	SPECTRUM OF GENERALIZED HODGE-LAPLACE OPERATORS ON FLAT TORI AND ROUND SPHERES
著者	著者名 Beitz, Stine Franziska
抄録	We consider generalized Hodge-Laplace operators αdδ + βδd for α, β > 0 on p-forms on compact Riemannian manifolds. In the case of flat tori and round spheres of different radii, we explicitly calculate the spectrum of these operators. Furthermore, we investigate under which circumstances they are isospectral.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	57(2)
ページ	357-379
刊行年月	2020-04
言語	英語
ハンドルURL	https://hdl.handle.net/11094/75918
DOI	https://doi.org/10.18910/75918
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 2 （2020-4）

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(2), p. 357-379
DC.title	SPECTRUM OF GENERALIZED HODGE-LAPLACE OPERATORS ON FLAT TORI AND ROUND SPHERES
DC.creator	Beitz, Stine Franziska
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	2020-04
DCTERMS.abstract	We consider generalized Hodge-Laplace operators αdδ + βδd for α, β > 0 on p-forms on compact Riemannian manifolds. In the case of flat tori and round spheres of different radii, we explicitly calculate the spectrum of these operators. Furthermore, we investigate under which circumstances they are isospectral.
DC.identifier	10.18910/75918
DC.format	application/pdf
citation_title	SPECTRUM OF GENERALIZED HODGE-LAPLACE OPERATORS ON FLAT TORI AND ROUND SPHERES
citation_author	Beitz, Stine Franziska
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2020-04
citation_journal_title	Osaka Journal of Mathematics
citation_volume	57
citation_issue	2
citation_firstpage	357
citation_lastpage	379
citation_public_url	https://hdl.handle.net/11094/75918
citation_doi_detail	10.18910/75918
citation_doi	https://doi.org/10.18910/75918