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math.OC2023
How does the contraction property fail for convex functions on normed spaces?
Shin-ichi Ohta
On Euclidean and Hilbert spaces, Riemannian manifolds, and CAT-spaces, gradient flows of convex functions are known to satisfy the contraction property, which plays a fundamen…
math.DG2023
Optimal transport and timelike lower Ricci curvature bounds on Finsler spacetimes
Mathias Braun, Shin-ichi Ohta
We prove that a Finsler spacetime endowed with a smooth reference measure whose induced weighted Ricci curvature is bounded from below by a real number …