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A stereological version of the Gauss-Bonnet formula

X. Gual-Arnau·J. J. Nuno-Ballesteros
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Abstract

We give a stereological version of the Gauss-Bonnet formula in order to compute the Euler characteristic of a domain with boundary in a smooth orientable surface in R^3, by looking at contacts with a "sweeping" plane.

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X. Gual-Arnau, J. J. Nuno-Ballesteros. 1999-07-30. A stereological version of the Gauss-Bonnet formula. https://arxiv.org/abs/math/9907191

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