Whitney stratifications and the continuity of local Lipschitz–Killing curvatures
Copyright policy )Whitney stratifications and the continuity of local Lipschitz–Killing curvatures
In the paper we prove that the local Lipschitz–Killing curvatures of a definable set in a polynomially bounded o-minimal structure are continuous along the strata of a Whitney stratification. Moreover, if the stratification is ( w ) -regular the local Lipschitz–Killing curvatures are locally Lipschitz in any o-minimal structure.
- Institut de Mathématiques de Marseille France
- Centrale Marseille France
- Aix-Marseille University France
local Lipschitz-Killing curvatures, Verdier regularity, definable sets, subanalytic sets, Infinitesimal methods in algebraic geometry, Mathematics - Algebraic Geometry, o-minimal structures, Local cohomology and algebraic geometry, Kuo-Verdier condition, FOS: Mathematics, Semi-analytic sets, subanalytic sets, and generalizations, stratifications, Algebraic Geometry (math.AG), Singularities of differentiable mappings in differential topology
local Lipschitz-Killing curvatures, Verdier regularity, definable sets, subanalytic sets, Infinitesimal methods in algebraic geometry, Mathematics - Algebraic Geometry, o-minimal structures, Local cohomology and algebraic geometry, Kuo-Verdier condition, FOS: Mathematics, Semi-analytic sets, subanalytic sets, and generalizations, stratifications, Algebraic Geometry (math.AG), Singularities of differentiable mappings in differential topology
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