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Lifts of Analytic Discs from $X$ to $T^*X$
http://hdl.handle.net/2261/1327
http://hdl.handle.net/2261/132783cd4d8b-f6c5-4f85-9beb-35870e000940
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms050404.pdf (147.0 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2008-03-04 | |||||
| タイトル | ||||||
| タイトル | Lifts of Analytic Discs from $X$ to $T^*X$ | |||||
| 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 |
Baracco, Luca
× Baracco, Luca |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | We state a general criterion for existence of analytic discs attached to conormal bundles of CR manifolds. In particular let $S$ be a CR (non--generic) submanifold of $X=\C^n$ and $E^*$ a CR subbundle of the complex conormal bundle $T^*_SX\cap\im T^*_SX$ such that $E^*+\sqrt{-1}E^*=T^*_SX\cap\sqrt{-1}T^*_SX$ (where sum and multiplication by $\sqrt{-1}$ are understood in the sense of the fibers). We then show that for any small disc $A$ attached to $S$ through $z_o$ , and for any point $p_o\in (E^*)_{z_o}$, there is an analytic lift $A^*$ attached to $E^*$ through $p_o$. In particular we regain the theorem by Trepreau and Tumanov \cite{T 3} on existence of lifts for discs attached to non--minimal manifolds. Our criterion also applies to discs attached to manifolds with a constant number of negative Levi--eigenvalues. We finally state the uniqueness of small discs attached to (non--necessarily CR) manifolds $M$ through a given point $z_o$ and with prescribed components in $T^\C_{z_o}M$. This is a slight, but perhaps interesting, generalization of the classical result (often used all through this paper), on uniqueness of lifts of small discs attached to generic manifolds. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 5, 号 4, p. 713-725, 発行日 1998 |
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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Scheme | NDC | |||||
| 主題 | 415 | |||||
| Mathematical Reviews Number | ||||||
| MR1675244 | ||||||
| Mathmatical Subject Classification | ||||||
| 32F(MSC1991) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 1997-04-17 | ||||||
