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We prove an estimate on the difference of Maslov indices relative to thechoice of two distinct reference Lagrangians of a continuous path in theLagrangian Grassmannian of a symplectic space. We discuss some applications tothe study of conjugate and focal points along a geodesic in a semi-Riemannianmanifold.

Comparison results for conjugate and focal points in semi-Riemannian geometry via Maslov index