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Umbilical Points of the Graphs of Homogeneous Polynomials of Degree 3
http://hdl.handle.net/2261/1196
http://hdl.handle.net/2261/119661785aa0-5894-4027-b91d-6defb1edffef
名前 / ファイル | ライセンス | アクション |
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jms080105.pdf (147.5 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 | Umbilical Points of the Graphs of Homogeneous Polynomials of Degree 3 | |||||
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 |
Ando, Naoya
× Ando, Naoya |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Let $P^3_o$ be the set of the homogeneous polynomials of degree $3$ such that on their graphs, the origin $o:=(0, 0, 0)$ of {\bf R}$^3$ is isolated as an umbilical point, and $P^{3,1/2}_o , P^{3,-1/2}_o$ the sets of the elements of $P^3_o$ such that on their graphs, the index of $o$ is equal to $1/2, -1/2$, respectively. In this paper, it is seen that $P^3_o$ is divided into $P^{3,1/2}_o$ and $P^{3,-1/2}_o$ by the cone obtained from a rectangular torus in the vector space of the homogeneous polynomials of degree $3$. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 8, 号 1, p. 71-87, 発行日 2001 |
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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 | ||||||
MR1818906 | ||||||
Mathmatical Subject Classification | ||||||
60F10(MSC2000) | ||||||
Mathmatical Subject Classification | ||||||
60J60(MSC2000) | ||||||
Mathmatical Subject Classification | ||||||
53A05(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
53A99(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
53B25(MSC1991) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2000-04-10 |