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math.DG2026
A Ballantine-Type Factorization of Diffeomorphisms
Mahmoud Abdelgalil, Tryphon T. Georgiou
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 tra…
math.DG2026
The Holonomy of Optimal Mass Transport: The Smooth Case
Mahmoud Abdelgalil, Tryphon T. Georgiou
We prove that, on a smooth manifold equipped with a constant rank horizontal distribution and a smooth inner product on , any horizontal vector field can be writte…