Geometric and Functional Analysis

, Volume 17, Issue 4, pp 1321–1341

Theory of Valuations on Manifolds: A Survey


DOI: 10.1007/s00039-007-0631-x

Cite this article as:
Alesker, S. GAFA Geom. funct. anal. (2007) 17: 1321. doi:10.1007/s00039-007-0631-x


This is a non-technical survey of a recent theory of valuations on manifolds constructed in [A10], [A11], [AF] and [A12], and actually a guide to this series of articles. We also review some recent related results obtained by a number of people.

Keywords and phrases:

Measures Euler characteristic valuations mixed volumes manifolds 

AMS Mathematics Subject Classification:

52B45 (57Rxx) 

Copyright information

© Birkhaeuser 2007

Authors and Affiliations

  1. 1.Department of MathematicsTel Aviv UniversityTel AvivIsrael