On Holomorphic Isometric Embeddings of the Unit Disk into Polydisks

نویسندگان

  • SUI-CHUNG NG
  • Richard A. Wentworth
چکیده

We study the classification of holomorphic isometric embeddings of the unit disk into polydisks. As a corollary of our results, we can give a complete classification when the target is the 2-disk and the 3-disk. We also prove that the holomorphic isometric embeddings between polydisks are induced by those of the unit disk into polydisks.

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تاریخ انتشار 2010