Some counterexamples concerning intrinsic distances

Barth, Theodore J.

doi:10.1090/S0002-9939-1977-0454078-7

Some counterexamples concerning intrinsic distances

Author: Theodore J. Barth
Journal: Proc. Amer. Math. Soc. 66 (1977), 49-53
MSC: Primary 32H15; Secondary 32H20
DOI: https://doi.org/10.1090/S0002-9939-1977-0454078-7
MathSciNet review: 0454078
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Abstract: Examples of the following are given: (i) complex spaces whose Carathéodory distances are not inner; (ii) a taut complex space that is not complete hyperbolic; (iii) a complex space that is complete hyperbolic $\bmod \; \Delta$ but not taut $\bmod \; \Delta$ ; (iv) a bounded pseudoconvex domain that is not taut.

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