New structures on valuations and applications
Metric Geometry
2010-08-30 v3 Differential Geometry
Abstract
An overview of some of the recent developments in the theory of valuations on convex sets and its generalizations to manifolds is given. The exposition is focused towards applications to integral geometry; several of such applications are discussed.
Cite
@article{arxiv.1008.0287,
title = {New structures on valuations and applications},
author = {Semyon Alesker},
journal= {arXiv preprint arXiv:1008.0287},
year = {2010}
}
Comments
Lecture notes of the Advanced Course on Integral Geometry and Valuation Theory at CRM, Barcelona. 39 pages. A new Section 2.8 added; other minor corrections