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Maslov index in semi-Riemannian submersions |
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| Authors: | Erasmo Caponio Miguel Angel Javaloyes Paolo Piccione |
| Institution: | 1.Dipartimento di Matematica,Politecnico di Bari,Bari,Italy;2.Departamento de Geometría y Topología, Facultad de Ciencias,Universidad de Granada,Granada,Spain;3.Departamento de Matemática,Universidade de S?o Paulo,S?o Paulo,Brazil;4.Department of Mathematics,University of Murcia,Espinardo,Spain |
| Abstract: | We study focal points and Maslov index of a horizontal geodesic γ : I → M in the total space of a semi-Riemannian submersion π : M → 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 spacetime which is orthogonal to a timelike Killing vector field. |
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