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arXiv · 2103.16912

Connecting and closed geodesics of a Kropina metric

Erasmo Caponio·Fabio Giannoni·Antonio Masiello·Stefan Suhr
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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.

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Erasmo Caponio, Fabio Giannoni, Antonio Masiello, Stefan Suhr. 2021-03-31. Connecting and closed geodesics of a Kropina metric. https://doi.org/10.1515/ans-2021-2133

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