Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On holomorphic isometric embeddings of the unit disk into polydisks


Author: Sui-Chung Ng
Journal: Proc. Amer. Math. Soc. 138 (2010), 2907-2922
MSC (2010): Primary 53C35, 53C55
Published electronically: March 19, 2010
MathSciNet review: 2644903
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: 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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 53C35, 53C55

Retrieve articles in all journals with MSC (2010): 53C35, 53C55


Additional Information

Sui-Chung Ng
Affiliation: Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong
Email: math.scng@hku.hk

DOI: http://dx.doi.org/10.1090/S0002-9939-10-10305-0
PII: S 0002-9939(10)10305-0
Received by editor(s): July 30, 2009
Received by editor(s) in revised form: November 27, 2009
Published electronically: March 19, 2010
Communicated by: Richard A. Wentworth
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.