|Title:||Distance between domains in the sense of Lehto is not a metric||Journal:||Annales Academiae Scientiarum Fennicae Mathematica||Volume:||24||Issue:||1||First page:||3||Last page:||10||Issue Date:||1-Dec-1999||Rank:||M23||ISSN:||1239-629X||Abstract:||
In this paper we consider the question whether the quotient of the set of domains conformally equivalent to a halfplane by the group of Möbius transformations with distance in the sense of Lehto is a metric space. The answer is shown to be negative in the general case. However, restricted to analytic domains the question has an affirmative answer.
|Publisher:||Academia Scientiarum Fennica|
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