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- Title
Maslov index in semi-Riemannian submersions.
- Authors
Caponio, Erasmo; Javaloyes, Miguel Angel; Piccione, Paolo
- 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.
- Subjects
MASLOV index; GEODESICS; RIEMANNIAN submersions; ORTHOGONAL functions; VECTOR fields
- Publication
Annals of Global Analysis & Geometry, 2010, Vol 38, Issue 1, p57
- ISSN
0232-704X
- Publication type
Article
- DOI
10.1007/s10455-010-9200-x