On the locally branched Euclidean metric gauge

Heinonen, Juha; Sullivan, Dennis

Duke Math. J., Tome 115 (2002) no. 1, p. 15-41 / Harvested from Project Euclid

Résumé

A metric gauge on a set is a maximal collection of metrics on the set such that the identity map between any two metrics from the collection is locally bi-Lipschitz. We characterize metric gauges that are locally branched Euclidean and discuss an obstruction to removing the branching. Our characterization is a mixture of analysis, geometry, and topology with an argument of Yu. Reshetnyak to produce the branched coordinates for the gauge.

Publié le : 2002-07-15
Classification: 30C65, 58A99

@article{1087575355,
     author = {Heinonen, Juha and Sullivan, Dennis},
     title = {On the locally branched Euclidean metric gauge},
     journal = {Duke Math. J.},
     volume = {115},
     number = {1},
     year = {2002},
     pages = { 15-41},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1087575355}
}

Heinonen, Juha; Sullivan, Dennis. On the locally branched Euclidean metric gauge. Duke Math. J., Tome 115 (2002) no. 1, pp.  15-41. http://gdmltest.u-ga.fr/item/1087575355/