Theory of valuations on manifolds, III. Multiplicative structure in the general case

Details Theory of valuations on manifolds, III. Multiplicative structure in the general case Theory of valuations on manifolds, III. Multiplicative structure in the general case

2005-09-22

arxiv.org/abs/math/0509512v3

Trans. Amer. Math. Soc. 360 (2008), no. 4, 1951--1981

Mathematics

Metric Geometry

33 pages; in the title the second sentence is added; the introduction is expanded; minor changes in the abstract; references

Scientific paper

This article is the third part of the series of articles where the theory of valuations on manifolds is constructed. In math.MG/0503399 the notion of a smooth valuation on a manifold was introduced. The goal of this article is to put a canonical multiplicative structure on the space of smooth valuations on general manifolds, thus extending some of the affine constructions from math.MG/0301148, math.MG/0503397.

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