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Tautness of locally taut domains in complex spaces. (English) Zbl 1114.32012
An equivalence condition for tautness of locally taut domains in a weakly Brody hyperbolic complex space is given: Let $$X$$ be a weakly Brody hyperbolic complex space and $$h_X$$ a complete Hermitian metric on $$TX$$. Let $$M$$ be a totally taut domain in $$X$$. Then $$M$$ is taut if and only if $$M$$ has the Schottky property for $$h_X$$.

##### MSC:
 32Q45 Hyperbolic and Kobayashi hyperbolic manifolds 32C15 Complex spaces 32A17 Special families of functions of several complex variables
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