We study focal points and Maslov index of a horizontal geodesic gamma in the total space of a semi-Riemannian submersion by determining an explicit relation with the corresponding objects along the projected geodesic in the base space. We use this result to calculate the focal Maslov index of a (spacelike) geodesic in a stationary spacetime which is orthogonal to a timelike Killing vector field.
Maslov index in semi-Riemannian submersions / Caponio, E; Javaloyes, M; Piccione, P. - In: ANNALS OF GLOBAL ANALYSIS AND GEOMETRY. - ISSN 0232-704X. - STAMPA. - 38:1(2010), pp. 57-75. [10.1007/s10455-010-9200-x]
Maslov index in semi-Riemannian submersions
Caponio E;
2010-01-01
Abstract
We study focal points and Maslov index of a horizontal geodesic gamma in the total space of a semi-Riemannian submersion by determining an explicit relation with the corresponding objects along the projected geodesic in the base space. We use this result to calculate the focal Maslov index of a (spacelike) geodesic in a stationary spacetime which is orthogonal to a timelike Killing vector field.File in questo prodotto:
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