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- Title
Connecting and Closed Geodesics of a Kropina Metric.
- Authors
Caponio, Erasmo; Giannoni, Fabio; Masiello, Antonio; Suhr, Stefan
- Abstract
We prove some results about existence of connecting and closed geodesics in a manifold endowed with a Kropina metric. These have applications to both null geodesics of spacetimes endowed with a null Killing vector field and Zermelo's navigation problem with critical wind.
- Subjects
GEODESICS; SPACETIME; VECTOR fields; DIFFERENTIAL geometry; EXISTENCE theorems
- Publication
Advanced Nonlinear Studies, 2021, Vol 21, Issue 3, p683
- ISSN
1536-1365
- Publication type
Article
- DOI
10.1515/ans-2021-2133