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Deux types de courbures sont associés à un sous-ensemble compact et définissable d'une
variété riemannienne analytique réelle. Si la variété est de courbure constante, il y a
des relations linéaires entre ces mesures. Comme application, nous démontrons une formule
cinématique, définissons des densités locales, et nous étudions les volumes des simplexes
réguliers.
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