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arXiv:0808.1358 [math.DG]AbstractReferencesReviewsResources

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

Miguel Angel Javaloyes, Paolo Piccione

Published 2008-08-11Version 1

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.

Comments: 10 pages
Categories: math.DG
Subjects: 53D12, 53D25, 53C22, 53C50
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