Finiteness theorems for holomorphic mapping from products of hyperbolic Riemann surfaces-Reference-Cited by-同舟云学术

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Finiteness theorems for holomorphic mapping from products of hyperbolic Riemann surfaces

Published:2017-05-29 Issue:07 Volume:28 Page:1750060
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Divakaran Divakaran¹²,Janardhanan Jaikrishnan³

Affiliation:

1. Department of Mathematics The Institute of Mathematical Sciences, C.I.T. Campus, Taramani Chennai 600113, India

2. Homi Bhabha National Institute, Training School Complex, Anushakti Nagar Mumbai 400094, India

3. Department of Mathematics Indian Institute of Technology Madras, Chennai 600036, India

Abstract

We prove that the space of dominant/non-constant holomorphic mappings from a product of hyperbolic Riemann surfaces of finite type into certain hyperbolic manifolds that can be covered by a bounded domain is a finite set.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X17500604

Reference15 articles.

1. Un teorema sulle involuzioni irrazionali

2. Metric spaces with discrete topological fundamental group

3. Generalizations of de Franchis theorem

4. Proper holomorphic mappings between hyperbolic product manifolds

5. On the relations between taut, tight and hyperbolic manifolds

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