An area formula in metric spaces

Valentino Magnani

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arXiv · 1010.3610

An area formula in metric spaces

Valentino Magnani

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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".

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Valentino Magnani. 2010-10-18. An area formula in metric spaces. https://arxiv.org/abs/1010.3610

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