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

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

2008-08-11

arxiv.org/abs/0808.1358v1

Mathematics

Differential Geometry

10 pages

Scientific paper

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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