Minkowski Valuations in a 2-Dimensional Complex Vector Space
Minkowski Valuations in a 2-Dimensional Complex Vector Space
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DOI：
10.1093/imrn/rnt251
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发表时间：
2013-06
影响因子：
1
通讯作者：
J. Abardia
中科院分区：
文献类型：
--
作者：
J. Abardia
在2维复向量空间中，建立了关于复特殊线性群逆变（或协变）的连续平移不变Minkowski赋值的分类.每一个这样的估值都是由同质度为1和3的估值之和给出的。在尺寸$m\geq 3$这样的分类是以前建立的，只有评价的程度均匀性2 m-1出现。
The classification of continuous, translation invariant Minkowski valuations which are contravariant (or covariant) with respect to the complex special linear group is established in a 2-dimensional complex vector space. Every such valuation is given by the sum of a valuation of degree of homogeneity 1 and 3. In dimensions $m\geq 3$ such a classification was previously established and only valuations of a degree of homogeneity 2m-1 appear.