Inserted: 8 dec 2004
Last Updated: 13 aug 2007
We show that a quasiconformal mapping between two proper, locally $Q$-regular metric spaces $Q>1$, is absolutely continuous on almost every curve. We further relax the limes superior in the definition of quasiconformality to limes inferior and verify that exceptional sets analogous to the Euclidean setting can be allowed.
Keywords: absolute continuity, quasiconformal mappings, Sobolev space