Abstract

The product of smooth valuations on manifolds is described in terms of differential forms, Gelfand transforms, and blow-up spaces. It is shown that the product extends partially to generalized valuations and corresponds geometrically to transversal intersections. This result is used to prove a general kinematic formula on compact rank one symmetric spaces.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 507-560
Launched on MUSE
2012-03-30
Open Access
No
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