All continuous Minkowski valuations which are compatible with the special linear group are completely classiﬁed. One consequence of these classiﬁcations is a new characterization of the projection body operator.
Cite this article
Christoph Haberl, Minkowski valuations intertwining the special linear group. J. Eur. Math. Soc. 14 (2012), no. 5, pp. 1565–1597