Measure-preserving mappings from the unit cube to some symmetric spaces
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909504459767808 |
|---|---|
| author | Beltrán, Carlos Ferizović, Damir López-Gómez, Pedro R. |
| author_facet | Beltrán, Carlos Ferizović, Damir López-Gómez, Pedro R. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_00405 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Measure-preserving mappings from the unit cube to some symmetric spaces Beltrán, Carlos Ferizović, Damir López-Gómez, Pedro R. Classical Analysis and ODEs Metric Geometry 58C35, 52C35 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. |
| title | Measure-preserving mappings from the unit cube to some symmetric spaces |
| topic | Classical Analysis and ODEs Metric Geometry 58C35, 52C35 |
| url | https://arxiv.org/abs/2303.00405 |