An area formula in metric spaces
Metric Geometry
2010-10-19 v1
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".
Cite
@article{arxiv.1010.3610,
title = {An area formula in metric spaces},
author = {Valentino Magnani},
journal= {arXiv preprint arXiv:1010.3610},
year = {2010}
}