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

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Type
Preprint
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Submission Date
Identifiers
arXiv ID: 0808.1358
Source
arXiv
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Abstract

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

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