Geodesic
An area formula in metric spaces
Valentino Magnani1
1 Dipartimento di Matematica Università di Pisa L.go Pontecorvo 5 I-56127 Pisa, Italy
Colloquium Mathematicum, Tome 124 (2011) no. 2, pp. 275-283.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm124-2-11
Keywords: present area formula continuous mappings between metric spaces under minimal regularity assumptions particular require notion differentiability consequence measure theoretic notion jacobian defined density suitable pull back measure finally applications examples

Valentino Magnani 1

1 Dipartimento di Matematica Università di Pisa L.go Pontecorvo 5 I-56127 Pisa, Italy 
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Valentino Magnani. An area formula in metric spaces. Colloquium Mathematicum, Tome 124 (2011) no. 2, pp. 275-283. doi : 10.4064/cm124-2-11. http://geodesic.mathdoc.fr/articles/10.4064/cm124-2-11/

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