๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Continuity of the straight line path for convex sets

โœ Scribed by Gerald Beer


Book ID
112892910
Publisher
The Hebrew University Magnes Press
Year
1987
Tongue
English
Weight
317 KB
Volume
58
Category
Article
ISSN
0021-2172

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Absolute Continuity for Curvature Measur
โœ Daniel Hug ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 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, .)

Absolute Continuity for Curvature Measur
โœ Daniel Hug ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 243 KB

This work is devoted to the investigation of the basic relationship between the geometric shape of a convex set and measure theoretic properties of the associated curvature and surface area measures. We study geometric consequences of and conditions for absolute continuity of curvature and surface a