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On the volume growth and the topology of complete minimal submanifolds of a Euclidean space
http://hdl.handle.net/2261/1552
http://hdl.handle.net/2261/1552db50b314-bc06-43ac-a7c5-0423762992d7
名前 / ファイル | ライセンス | アクション |
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jms020307.pdf (115.6 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2008-03-04 | |||||
タイトル | ||||||
タイトル | On the volume growth and the topology of complete minimal submanifolds of a Euclidean space | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Chen, Qing
× Chen, Qing |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Let $M$ be a $n$-dimensional complete properly immersed minimal submanifold of a Euclidean space. We show that the number of the ends of $M$ is bounded above by $k=\sup{\roman{volume}(M\cap B(t)) \over ω_nt^n}$, where $B(t)$ is the ball of the Euclidean space of center 0 and radius $t$, $ω_n$ is the volume of $n$-dimensional unit Euclidean ball. Moreover, we prove that the number of ends of $M$ is equal to $k$ under some curvature decay condition. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 2, 号 3, p. 657-669, 発行日 1995 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 13405705 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11021653 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
日本十進分類法 | ||||||
主題 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR1382525 | ||||||
Mathmatical Subject Classification | ||||||
49Q05(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
53C42(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
53C20(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
26B15(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
49Q15(MSC1991) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
1994-12-08 |