An area formula in metric spaces
Colloquium Mathematicae (2011)
- Volume: 124, Issue: 2, page 275-283
- ISSN: 0010-1354
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topValentino Magnani. "An area formula in metric spaces." Colloquium Mathematicae 124.2 (2011): 275-283. <http://eudml.org/doc/283578>.
@article{ValentinoMagnani2011,
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". Finally, we give some applications and examples.},
author = {Valentino Magnani},
journal = {Colloquium Mathematicae},
keywords = {area formula; metric spaces},
language = {eng},
number = {2},
pages = {275-283},
title = {An area formula in metric spaces},
url = {http://eudml.org/doc/283578},
volume = {124},
year = {2011},
}
TY - JOUR
AU - Valentino Magnani
TI - An area formula in metric spaces
JO - Colloquium Mathematicae
PY - 2011
VL - 124
IS - 2
SP - 275
EP - 283
AB - 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". Finally, we give some applications and examples.
LA - eng
KW - area formula; metric spaces
UR - http://eudml.org/doc/283578
ER -
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