Metric invariance of Haar measure

Bandt, Christoph

doi:10.1090/S0002-9939-1983-0677233-2

Metric invariance of Haar measure

Author: Christoph Bandt
Journal: Proc. Amer. Math. Soc. 87 (1983), 65-69
MSC: Primary 43A05; Secondary 28C10
DOI: https://doi.org/10.1090/S0002-9939-1983-0677233-2
MathSciNet review: 677233
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Abstract: Let $d$ be a left invariant metric for a locally compact group $G$. We prove that isometric subsets of $(G,d)$ have equal Haar measure.

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