Maslov index in semi-Riemannian submersions

Details Maslov index in semi-Riemannian submersions Maslov index in semi-Riemannian submersions

2009-05-04

arxiv.org/abs/0905.0345v2

Ann. Glob. Anal. Geom., 38 (2010) 57-75

Mathematics

Differential Geometry

20 pages. Title changed, references updated

Scientific paper

10.1007/s10455-010-9200-x

We study focal points and Maslov index of a horizontal geodesic $\gamma:I\to M$ in the total space of a semi-Riemannian submersion $\pi:M\to B$ by determining an explicit relation with the corresponding objects along the projected geodesic $\pi\circ\gamma:I\to B$ in the base space. We use this result to calculate the focal Maslov index of a (spacelike) geodesic in a stationary space-time which is orthogonal to a timelike Killing vector field.

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