Measure-preserving mappings from the unit cube to some symmetric spaces
Classical Analysis and ODEs
2025-02-25 v1 Metric Geometry
Abstract
We construct measure-preserving mappings from the -dimensional unit cube to the -dimensional unit ball and the compact rank one symmetric spaces, namely the -dimensional sphere, the real, complex, and quaternionic projective spaces, and the Cayley plane. We also give a procedure to generate measure-preserving mappings from the -dimensional unit cube to product spaces and fiber bundles under certain conditions.
Keywords
Cite
@article{arxiv.2303.00405,
title = {Measure-preserving mappings from the unit cube to some symmetric spaces},
author = {Carlos Beltrán and Damir Ferizović and Pedro R. López-Gómez},
journal= {arXiv preprint arXiv:2303.00405},
year = {2025}
}
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20 pages