2000
DOI: 10.4064/dm388-0-1
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Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions

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Cited by 28 publications
(29 citation statements)
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“…Let us start with Reinhardt domains, which are seemingly well understood (see [19]). Even in this case we get new results.…”
Section: Circular Domains and Complex Geodesicsmentioning
confidence: 99%
“…Let us start with Reinhardt domains, which are seemingly well understood (see [19]). Even in this case we get new results.…”
Section: Circular Domains and Complex Geodesicsmentioning
confidence: 99%
“…We mention that there are a lot of works concerning the completeness of β M (cf. [4], [5], [6], [12], [13], [14], [15], [17], [20]). On the other hand, Diederich and Ohsawa [10] proved that the Bergman distance for a bounded C 2 pseudoconvex domain in C n has a lower bound of a constant multiple log | log δ Ω |.…”
Section: Theoremmentioning
confidence: 99%
“…In 1959, Kobayashi [11] began to investigate the completeness of the Bergman metric. After that, there are a lot of papers concerning the Bergman completeness for bounded pseudoconvex domains in C n (see [3], [18] for a review). There are two general results: One says that any bounded hyperconvex domain is Bergman complete (cf.…”
Section: Introductionmentioning
confidence: 99%