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feat(geodesic): LinearODE — global existence for linear ODEs - #114

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feat(geodesic): LinearODE — global existence for linear ODEs#114
Xinze-Li-Moqian wants to merge 1 commit into
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feat/linear-ode

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Hopf–Rinow adoption — layer 0 of the dependency cone (from feat/hopf-rinow).

What: adds OpenGALib/Riemannian/Geodesic/LinearODE.lean — global existence on any compact interval for a linear ODE V'(t) = A(t) V(t) with continuous bounded coefficient. Mathlib's Picard–Lindelöf only gives local existence; this supplies the global statement.

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

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

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

Hopf–Rinow adoption, layer 0: a self-contained, Mathlib-only leaf.
Mathlib's Picard–Lindelöf gives only local existence; for a linear ODE
V'(t) = A(t)V(t) with continuous bounded coefficient the solution exists
on any compact interval. 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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