A smoothly bounded domain in a complex surface with a compact quotient

Wing Sum Cheung; Siqi Fu; Steven G. Krantz; Bun Wong

doi:10.7146/math.scand.a-14380

A smoothly bounded domain in a complex surface with a compact quotient

Authors

Wing Sum Cheung
Siqi Fu
Steven G. Krantz
Bun Wong

DOI:

https://doi.org/10.7146/math.scand.a-14380

Abstract

We study the classification of smoothly bounded domains in complex manifolds that cover compact sets. We prove that a smoothly bounded domain in a hyperbolic complex surface that covers a compact set is either biholomorphic to the ball or covered by the bidisc.

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Published

2002-09-01

How to Cite

Cheung, W. S., Fu, S., Krantz, S. G., & Wong, B. (2002). A smoothly bounded domain in a complex surface with a compact quotient. MATHEMATICA SCANDINAVICA, 91(1), 82–90. https://doi.org/10.7146/math.scand.a-14380