Real Algebraic and Analytic Geometry

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301. Nicolas Dutertre:
Euler characteristic and Lipschitz-Killing curvatures of closed semi-algebraic sets.


Submission: 2010, February 3.

We prove a formula that relates the Euler-Poincaré characteristic of a closed semi-algebraic set to its Lipchitz-Killing curvatures.

Mathematics Subject Classification (2000): 14P10, 14P25, 53C65.

Keywords and Phrases: Euler characteristic, curvatures, semi-algebraic sets.

Full text, 16p.: dvi 76k, ps.gz 304k, pdf 332k.

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