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arXiv · 1012.3524

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

R. N. Karasev
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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.

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R. N. Karasev. 2010-12-16. Equipartition of a measure by $(Z_p)^k$-invariant fans. https://doi.org/10.1007/s00454-009-9138-6

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