Whitney stratifications and the continuity of local Lipschitz Killing curvatures

Guillaume Valette (1) , Xuan Viet Nhan Nguyen (2)

1 Instytut Matematyczny PAN
2 I2M - Institut de Mathématiques de Marseille

We prove that local Lipschitz Killing curvatures of definable sets in a polynomially bounded o-minimal structure are continuous along strata of Whitney stratifications and locally Lipschitz if the stratifications are (w)- regular.

Mots clés: Lipschitz killing curvatures; Whitney stratifications

Domaines: Géométrie algébrique [math.AG]

Guillaume Valette, Xuan Viet Nhan Nguyen. Whitney stratifications and the continuity of local Lipschitz Killing curvatures. 2015. ⟨hal-01309323⟩