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

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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.
10 pages

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Differential Geometry, 53D12, 53D25, 53C22, 53C50

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http://salesiana.dossiersoluciones.com/handle/123456789/166785

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0808.1358
 http://arxiv.org/abs/0808.1358

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arXiv