Equipartition of a measure by $(Z_p{)}^k$-invariant fans

Abstract

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.

In this version Section 4 is corrected after the official publication

References in corpus (1)

• Inscribing a regular crosspolytope

Cited by in corpus (1)

• Inscribing a regular crosspolytope