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 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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 
@article{10_4064_cm124_2_11,
     author = {Valentino Magnani},
     title = {An area formula in metric spaces},
     journal = {Colloquium Mathematicum},
     pages = {275--283},
     year = {2011},
     volume = {124},
     number = {2},
     doi = {10.4064/cm124-2-11},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm124-2-11/}
}
TY  - JOUR
AU  - Valentino Magnani
TI  - An area formula in metric spaces
JO  - Colloquium Mathematicum
PY  - 2011
SP  - 275
EP  - 283
VL  - 124
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm124-2-11/
DO  - 10.4064/cm124-2-11
LA  - en
ID  - 10_4064_cm124_2_11
ER  - 
%0 Journal Article
%A Valentino Magnani
%T An area formula in metric spaces
%J Colloquium Mathematicum
%D 2011
%P 275-283
%V 124
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/cm124-2-11/
%R 10.4064/cm124-2-11
%G en
%F 10_4064_cm124_2_11
Valentino Magnani. An area formula in metric spaces. Colloquium Mathematicum, Tome 124 (2011) no. 2, pp. 275-283. doi: 10.4064/cm124-2-11

Cité par Sources :