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A Characterization of Affine Surface Area

Advances in Mathematics (1999) 147(1) 138-172
DOI: 10.1006/aima.1999.1832
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Abstract

We show that every upper semicontinuous and equi-affine invariant valuation on the space of d-dimensional convex bodies is a linear combination of affine surface area, volume, and the Euler characteristic. © 1999 Academic Press.

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Ludwig, M., & Reitzner, M. (1999). A Characterization of Affine Surface Area. Advances in Mathematics, 147(1), 138–172. https://doi.org/10.1006/aima.1999.1832

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