Abstract
There exist close analogues to the curvature measures for convex bodies in classical differential geometry of smooth submanifolds. Basic notions have been developed nearly at the same time starting from the 1930th, mainly within the so-called integral geometry.
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Rataj, J., Zähle, M. (2019). Background from Differential Geometry and Topology. In: Curvature Measures of Singular Sets. Springer Monographs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-18183-3_3
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DOI: https://doi.org/10.1007/978-3-030-18183-3_3
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