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QUASISPHERES AND METRIC DOUBLING MEASURES.
- Source :
-
Proceedings of the American Mathematical Society . Jul2018, Vol. 146 Issue 7, p2973-2984. 12p. - Publication Year :
- 2018
-
Abstract
- Applying the Bonk-Kleiner characterization of Ahlfors 2-regular quasispheres, we show that a metric two-sphere X is a quasisphere if and only if X is linearly locally connected and carries a weak metric doubling measure, i.e., a measure that deforms the metric on X without much shrinking. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 146
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 129191962
- Full Text :
- https://doi.org/10.1090/proc/13971