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arXiv · 2609.06180

A Ballantine-Type Factorization of Diffeomorphisms

Mahmoud Abdelgalil·Tryphon T. Georgiou
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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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Mahmoud Abdelgalil, Tryphon T. Georgiou. 2026-09-05. A Ballantine-Type Factorization of Diffeomorphisms. https://arxiv.org/abs/2609.06180

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