PreprintCC BY 4.0arXiv
A Ballantine-Type Factorization of Diffeomorphisms
Abstract
We show that on a compact, connected, Riemannian manifold without boundary, every isotopic to the identity diffeomorphism can be written as a finite composition of optimal mass transport maps. This result represents a non-linear infinite dimensional generalization of Ballantine's factorization results.
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BibTeX
@misc{abdelgalil2026ballantinetype,
title = {{A Ballantine-Type Factorization of Diffeomorphisms}},
author = {Mahmoud Abdelgalil and Tryphon T. Georgiou},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.06180},
eprint = {2609.06180},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.06180},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A Ballantine-Type Factorization of Diffeomorphisms
AU - Mahmoud Abdelgalil
AU - Tryphon T. Georgiou
PY - 2026
DA - 2026/09/11
PB - arXiv
DO - 10.48550/arxiv.2609.06180
UR - https://arxiv.org/abs/2609.06180
AB - We show that on a compact, connected, Riemannian manifold without boundary, every isotopic to the identity diffeomorphism can be written as a finite composition of optimal mass transport maps. This result represents a non-linear infinite dimensional generalization of Ballantine's factorization results.
ER -