An area formula in metric spaces

Magnani Valentino

year: 2011
journal: Colloq. Math.
abstract: We present an area formula for continuous mappings between metric spaces, under minimal regularity assumptions. In particular, we do not require any notion of differentiability. This is a consequence of a measure theoretic notion of Jacobian, defined as the density of a suitable "pull-back measure".

The paper is available on the cvgmt preprint server.