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Slicing Convex Sets and Measures by a Hyperplane

✍ Scribed by Imre Bárány; Alfredo Hubard; Jesús Jerónimo


Publisher
Springer
Year
2007
Tongue
English
Weight
288 KB
Volume
39
Category
Article
ISSN
0179-5376

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📜 SIMILAR VOLUMES


Absolute Continuity for Curvature Measur
✍ Daniel Hug 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 923 KB

Let us denote by C p ( K , .), r E {O,. . . , d -1)1 the curvature measures of a convex body K in the Euclidean space Ed with d 1. 2. According to Lebesgue's decomposition theorem the curvature measure of order r of K, C,(K, s), can be written as the sum of an absolutely continuous measure, C:(K, .)