An area formula in metric spaces

• Autorzy: Valentino Magnani
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 28A75: Length, area, volume, other geometric measure theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2011
• Tom: 124
• Numer: 2
• Strony: 275-283

Daty

wydano

2011

Twórcy

autor

Valentino Magnani

• Dipartimento di Matematica, Università di Pisa, L.go Pontecorvo 5, I-56127 Pisa, Italy

Identyfikatory

DOI

10.4064/cm124-2-11