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feat(geodesic): FlowDependence — C¹ dependence of ODE solutions on initial data - #115

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feat(geodesic): FlowDependence — C¹ dependence of ODE solutions on initial data#115
Xinze-Li-Moqian wants to merge 1 commit into
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Hopf–Rinow adoption — layer 0 of the dependency cone (from feat/hopf-rinow).

What: adds OpenGALib/Riemannian/Geodesic/FlowDependence.lean — continuous and C¹ dependence of an ODE's flow on its initial condition (the analytic backbone for smooth dependence of geodesics on their initial data).

Why safe: true leaf — imports only Mathlib, zero coupling; builds against the sorry-free main.

Verification: lake build OpenGALib.Riemannian.Geodesic.FlowDependence ✅; 0 sorries.

Adopted from feat/hopf-rinow; original authors credited via Co-authored-by.

…itial data

Hopf–Rinow adoption, layer 0: a self-contained, Mathlib-only leaf —
continuous/C¹ dependence of ODE flow on the initial condition. Builds
against the sorry-free main; 0 sorries.

Co-authored-by: Axel Delaval <axel.delaval@gmail.com>
Co-authored-by: Spring-1211 <liuchunlei@pku.edu.cn>
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