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 | References | Similar Articles | Additional Information
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 but not taut
; (iv) a bounded pseudoconvex domain that is not taut.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1977-0454078-7
Keywords:
Carathéodory pseudodistance,
Kobayashi pseudodistance,
inner pseudodistance,
taut complex space,
complete hyperbolic complex space
Article copyright:
© Copyright 1977
American Mathematical Society