The Kobayashi indicatrix at the center of a circular domain
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- by Theodore J. Barth PDF
- Proc. Amer. Math. Soc. 88 (1983), 527-530 Request permission
Abstract:
The indicatrix of the Kobayashi infinitesimal metric at the center of a pseudoconvex complete circular domain coincides with this domain. It follows that a nonconvex complete circular domain cannot be biholomorphic to any convex domain. An example shows that a bounded pseudoconvex complete circular domain in ${{\mathbf {C}}^2}$ need not be taut.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 88 (1983), 527-530
- MSC: Primary 32F15; Secondary 32A07, 32H15
- DOI: https://doi.org/10.1090/S0002-9939-1983-0699426-0
- MathSciNet review: 699426