The generalized Busemann-Petty Problem on local affine transform

摘要：

In 2008, Koldobsky 1studied the complex Busemann-Petty Problem on 2-dimensional rotation invariant transform in R2n. Enlightening by this point of view, we discuss the generalized Busemann-Petty (GBP) problem on 3-dimensional local rotation invariant transform. Under the conditions, we proved that GBP have positive answer if and only if the covex body K is a 3-intersection body.

关键词： The GBP, 3-intersection body generalazation.local affine transform

作者: Yajun Shoa Shufeng Yuan

作者单位: Department of applied Mathematics, Zhejiang Forestry university, Zhejiang, Linan, 311300,China Department of Mathematics, Shaoxing University, Zhejiang, Shangyu,312300,China

会议类型: 国际会议

会议名称: The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)

会议地点: 杭州

会议语种:英文

页码: 141-143

在线出版日期: 2009-07-09（万方平台首次上网日期，不代表论文的发表时间）