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. https://doi.org/10.1090/proc/13971
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Proceedings of the American Mathematical SocietyDate
2018Copyright
© 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
0002-9939Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/28037123
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Academy of FinlandFunding program(s)
Academy Project, AoF
Additional information about funding
This research was supported by the Academy of Finland, project number 308659.License
Except where otherwise noted, this item's license is described as In Copyright