On the minimality of the corresponding submanifolds to four-dimensional solvsolitons

• Material Type: 博士論文
• Title: On the minimality of the corresponding submanifolds to four-dimensional solvsolitons
• Author/Editor: 橋永, 貴弘
• Author Heading: 橋永, 貴弘
• Publication Date: 2014-03-23
• Publication Date (W3CDTF): 2014-03-23
• Alternative Title: 4次元可解ソリトンに対応する部分多様体の極小性について
• Degree grantor/type: 広島大学
• Date Granted: 2014-03-23
• Date Granted (W3CDTF): 2014-03-23
• Dissertation Number: 甲第6358号
• Degree Type: 博士(理学); Science
• Conferring No. (Dissertation): 甲第6358号
• Text Language Code: eng
• Alias of Author: Hashinaga, Takahiro
• Subject Heading: Lie groups; left-invariant Riemannian metrics; solvsolitons; symmetric spaces; minimal submanifolds
• NDC: 410
• Target Audience: 一般
• Note (General): In our previous study, the author and Tamaru proved that a left invariant Riemannian metric on a three-dimensional simply-connected solvable Lie group is a solvsoliton if and only if the corresponding sub manifold is minimal. In this paper, we study the minimality of the corresponding sub manifolds to solvsolitons on four-dimensional cases. In four-dimensional nilpotent cases, we prove that a left-invariant Riemannian metric is a nilsoliton if and only if the corresponding sub manifold is minimal. On the other hand, there exists a four-dimensional simply-connected solvable Lie group so that the above correspondence does not hold. More precisely, there exists a solvsoliton whose corresponding sub manifold is not minimal, and a left-invariant Riemannian metric which is not solvsoliton and whose corresponding sub manifold is minimal.; Takahiro Hashinaga, On the minimality of the corresponding submanifolds to fourdimensional solvsolitons. Hiroshima Mathematical Journal (掲載決定)
• Persistent ID (NDL): info:ndljp/pid/8951720; https://dl.ndl.go.jp/pid/8951720
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• Collection (particular): 国立国会図書館デジタルコレクション > デジタル化資料 > 博士論文; https://dl.ndl.go.jp/collections/A00014
• Acquisition Basis: 博士論文（自動収集）
• Available (W3CDTF): 2015-03-03
• Date Accepted (W3CDTF): 2015-02-03T05:25:05+09:00
• Format (IMT): application/pdf
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• Periodical Title (URI): http://ir.lib.hiroshima-u.ac.jp/00035939
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2018-12-03 再収集

2018-12-03 再収集