The product on smooth and generalized valuations

Details The product on smooth and generalized valuations The product on smooth and generalized valuations

2009-04-08

arxiv.org/abs/0904.1347v3

Mathematics

Metric Geometry

50 pages; revised version; the definition of a transversal set in Section 4 is corrected and more details on that are added; o

Scientific paper

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 sym- metric spaces.

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