Quasispheres and metric doubling measures
Lohvansuu, A., Rajala, K., & Rasimus, M. (2018). Quasispheres and metric doubling measures. Proceedings of the American Mathematical Society, 146 (7), 2973-2984. doi:10.1090/proc/13971
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Proceedings of the American Mathematical SocietyDate
2018Discipline
MatematiikkaCopyright
© 2018 American Mathematical Society
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.
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American Mathematical SocietyISSN Search the Publication Forum
0002-9939Metadata
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