ISSN:
1572-9168
Keywords:
convex bodies
;
generalized curvature measures
;
boundary structure
;
Crofton formula
;
principal kinematic formula.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We establish extensions of the Crofton formula and, under some restrictions, of the principal kinematic formula of integral geometry from curvature measures to generalized curvature measures of convex bodies. We also treat versions for finite unions of convex bodies. As a consequence, we get a new intuitive interpretation of the area measures of Aleksandrov and Fenchel–Jessen.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1004976306108
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