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LOCAL HERMITIAN GEOMETRY OF COMPLEX SURFACES IN P^{3} : TOTALLY PARABOLIC SURFACES
http://hdl.handle.net/10131/5597
http://hdl.handle.net/10131/55978665ff34-b65c-4921-915c-761be82b8268
名前 / ファイル | ライセンス | アクション |
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YMJ_39_N1_1991_061-088.pdf (1.9 MB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2009-12-15 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | LOCAL HERMITIAN GEOMETRY OF COMPLEX SURFACES IN P^{3} : TOTALLY PARABOLIC SURFACES | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
著者 |
Yang, Kichoon
× Yang, Kichoon |
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著者所属 | ||||||
Department of Mathematics, Arkansas State University, State University, Arkansas 72467 | ||||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | A study of Hermitian geometry of holomorphically immersed complex surfaces in P^{3} is given. A normalization of the complex second fundamental form is given and is used to extract the global invariants, complex principal curvatures. We give formulae expressing the Chern forms in terms of the Kaehler form and the complex principal curvatures. For compact surfaces in P^{3} we obtain a pair of Gauss-Bonnet type formulae. As an application of our Gauss-Bonnet formulae we prove that an algebraic surface in P^{3} with an immersive osculating map is a quadric. The notion of a parabolic surface in P^{3} is introduced. Compact parabolic surfaces do not exist since they would have to satisfy the critical Chern number equality, (c_{1})^{2}=3c_{2} . An infinite family of local parabolic surfaces are constructed using the method of prolongation. In the process we also give an infinite family of non-left-invariant integrable distributions on U(4) . | |||||
書誌情報 |
Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学 巻 39, 号 1, p. 61-88, 発行日 1991 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 00440523 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA0089285X | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
出版者 | ||||||
出版者 | Yokohama City University |