测度的$(Z_p)^k$ -不变扇均分
Equipartition of a measure by $(Z_p)^k$-invariant fans
摘要：
证明了$\mathbb R^d$中的绝对连续测度被一个具有公共顶点的锥系分割成2d等分的一个结果，其中$d$是奇素数方幂.证明是拓扑的，并基于一定的向量丛的等变欧拉类的计算。
英文摘要：
We prove a result about partitioning an absolute continuous measure in $\mathbb R^d$ into 2d equal parts by a system of cones with common vertex, where $d$ is an odd prime power. The proof is topological and based on the calculation of the equivariant Euler class of a certain vector bundle.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
