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def definition def or abbrev

HolonomyDefect

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formal statement (Lean)

 187def HolonomyDefect (g : MetricTensor) (loop : ClosedLoop) (V_init : Fin 4 → ℝ) : Prop :=

proof body

Definition body.

 188  ∃ (sol : ParallelTransportSolution g loop.toSpacetimeCurve ⟨0, V_init⟩),
 189    SmoothField sol.V ∧ sol.V 1 ≠ V_init
 190
 191/-- Vanishing Riemann implies zero holonomy: no defect around any closed loop. -/

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