A Cartan-type result for invariant distances and one-dimensional holomorphic retracts.

Colum Watt

Publicacions Matemàtiques (2001)

  • Volume: 45, Issue: 2, page 387-397
  • ISSN: 0214-1493

Abstract

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We derive conditions under which a holomorphic mapping of a taut Riemann surface must be an automorphism. This is an analogue involving invariant distances of a result of H. Cartan. Using similar methods we prove an existence result for 1-dimensional holomorphic retracts in a taut complex manifold.

How to cite

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Watt, Colum. "A Cartan-type result for invariant distances and one-dimensional holomorphic retracts.." Publicacions Matemàtiques 45.2 (2001): 387-397. <http://eudml.org/doc/41422>.

@article{Watt2001,
abstract = {We derive conditions under which a holomorphic mapping of a taut Riemann surface must be an automorphism. This is an analogue involving invariant distances of a result of H. Cartan. Using similar methods we prove an existence result for 1-dimensional holomorphic retracts in a taut complex manifold.},
author = {Watt, Colum},
journal = {Publicacions Matemàtiques},
keywords = {invariant distance; holomorphic retracts},
language = {eng},
number = {2},
pages = {387-397},
title = {A Cartan-type result for invariant distances and one-dimensional holomorphic retracts.},
url = {http://eudml.org/doc/41422},
volume = {45},
year = {2001},
}

TY - JOUR
AU - Watt, Colum
TI - A Cartan-type result for invariant distances and one-dimensional holomorphic retracts.
JO - Publicacions Matemàtiques
PY - 2001
VL - 45
IS - 2
SP - 387
EP - 397
AB - We derive conditions under which a holomorphic mapping of a taut Riemann surface must be an automorphism. This is an analogue involving invariant distances of a result of H. Cartan. Using similar methods we prove an existence result for 1-dimensional holomorphic retracts in a taut complex manifold.
LA - eng
KW - invariant distance; holomorphic retracts
UR - http://eudml.org/doc/41422
ER -

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