Euler characteristic and Lipschitz-Killing curvatures of closed semi-algebraic sets

Nicolas Dutertre (1)

1 LATP - Laboratoire d'Analyse, Topologie, Probabilités

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

Domaines: Géométrie algébrique [math.AG]; Géométrie différentielle [math.DG]

Nicolas Dutertre. Euler characteristic and Lipschitz-Killing curvatures of closed semi-algebraic sets. Geometriae Dedicata, 2012, 158 (1), pp.167-189. ⟨hal-00453032⟩