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arXiv · 2303.00405

Measure-preserving mappings from the unit cube to some symmetric spaces

Carlos Beltrán·Damir Ferizović·Pedro R. López-Gómez
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Abstract

We construct measure-preserving mappings from the $d$-dimensional unit cube to the $d$-dimensional unit ball and the compact rank one symmetric spaces, namely the $d$-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 $d$-dimensional unit cube to product spaces and fiber bundles under certain conditions.

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Carlos Beltrán, Damir Ferizović, Pedro R. López-Gómez. 2023-03-01. Measure-preserving mappings from the unit cube to some symmetric spaces. https://doi.org/10.1016/j.jat.2025.106145

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