Božin, Vladimir and Marković, Vladimir (1999) Distance between domains in the sense of Letho is not a metric. Annales Academiae Scientiarum Fennicae. Mathematica, 24 (1). pp. 3-10. ISSN 1239-629X. https://resolver.caltech.edu/CaltechAUTHORS:20170505-150411235
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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 afirmative answer.
Item Type: | Article | |||||||||
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Additional Information: | © 1999 Suomalainen Tiedeakatemia. We would like to thank our adviser M. Mateljević for motivation and many helpful discussions and suggestions. | |||||||||
Issue or Number: | 1 | |||||||||
Classification Code: | 1991 Mathematics Subject Classification: Primary 30C55 | |||||||||
Record Number: | CaltechAUTHORS:20170505-150411235 | |||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170505-150411235 | |||||||||
Official Citation: | Božin, Vladimir, and Marković, Vladimir. "Distance between domains in the sense of Letho is not a metric.." Annales Academiae Scientiarum Fennicae. Mathematica 24.1 (1999): 3-10. <http://eudml.org/doc/119923> | |||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
ID Code: | 77239 | |||||||||
Collection: | CaltechAUTHORS | |||||||||
Deposited By: | Tony Diaz | |||||||||
Deposited On: | 05 May 2017 22:40 | |||||||||
Last Modified: | 03 Oct 2019 17:55 |
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