<oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
<dc:title>$GL(n)$ equivariant Minkowski valuations</dc:title>
<dc:creator>Thomas Wannerer</dc:creator>
<dc:subject>52A20</dc:subject><dc:subject>52B45</dc:subject><dc:subject>52A40</dc:subject><dc:subject>valuation</dc:subject><dc:subject>centroid body</dc:subject><dc:subject>difference body</dc:subject>
<dc:description>A classification of all continuous $\mathrm{GL}(n)$ equivariant Minkowski valuations on convex bodies in $\mathbb{R}^n$ is established. Together with recent results of F.E. Schuster and the author, this article therefore completes the description of all continuous $\mathrm{GL}(n)$ intertwining Minkowski valuations.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2011</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2011.60.4425</dc:identifier>
<dc:source>10.1512/iumj.2011.60.4425</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 60 (2011) 1655 - 1672</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>