Advertisement

manuscripta mathematica

, Volume 99, Issue 3, pp 359–369 | Cite as

Univalent holomorphic mappings on a complex manifold with a C1 exhaustion function

  • Hidetaka Hamada
  • 40 Downloads

Abstract:

Let M be a complex manifold with a exhaustion function ρ. Assume that ρ attains its minimum at a single point o and dρ≠ 0 on M\{o}. In this case, we will give a necessary condition and a sufficient condition for locally biholomorphic mappings on M to be biholomorphic and to have Φ-like images.

Mathematics Subject Classification (1991): 32A30, 30C45 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Hidetaka Hamada
    • 1
  1. 1.Faculty of Engineering, Kyushu Kyoritsu University, 1-8 Jiyugaoka,¶Yahatanishi-ku, Kitakyushu 807-8585, Japan. e-mail: hamada@kyukyo-u.ac.jpJP

Personalised recommendations