Deformation of big pseudoholomorphic disks and application to the Hanh pseudonorm

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• 作者：Kruglikov ; Boris
• 刊名：Comptes Rendus Mathematique
• 出版年：2004
• 出版时间：February 15, 2004
• 年：2004
• 卷：338
• 期：4
• 页码：295-299
• 全文大小：103 K

文摘

We simplify the proof of the theorem that close to any pseudoholomorphic disk there passes a pseudoholomorphic disk of arbitrary close size with any pre-described sufficiently close direction. We apply these results to the Kobayashi and Hanh pseudodistances. It is shown they coincide in dimensions higher than four. The result is new even in the complex case. To cite this article: B. Kruglikov, C. R. Acad. Sci. Paris, Ser. I 338 (2004).