Holomorphic isometries between products of complex unit balls-Reference-Cited by-同舟云学术

Holomorphic isometries between products of complex unit balls

Published:2017-08 Issue:09 Volume:28 Page:1740010
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Chan Shan Tai¹,Xiao Ming²,Yuan Yuan¹

Affiliation:

1. Department of Mathematics, Syracuse University, Syracuse, NY 13244-1150, USA

2. Department of Mathematics, University of California, San Diego, CA 92093, USA

Abstract

We first give an exposition on holomorphic isometries from the Poincaré disk to polydisks and from the Poincaré disk to the product of the Poincaré disk with a complex unit ball. As an application, we provide an example of proper holomorphic map from the unit disk to the complex unit ball that is irrational, algebraic and holomorphic on a neighborhood of the closed unit disk. We also include some new results on holomorphic isometries.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X17400109

Reference18 articles.

1. Holomorphic mappings from the ball and polydisc

2. Isometric Imbedding of Complex Manifolds

3. On global rigidity of the $p$-th root embedding

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