Theory of valuations on manifolds, III. Multiplicative structure in the general case
Metric Geometry
2011-11-16 v3 Differential Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.math/0509512,
title = {Theory of valuations on manifolds, III. Multiplicative structure in the general case},
author = {Semyon Alesker and Joseph H. G. Fu},
journal= {arXiv preprint arXiv:math/0509512},
year = {2011}
}
Comments
33 pages; in the title the second sentence is added; the introduction is expanded; minor changes in the abstract; references