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.

Connecting and Closed Geodesics of a Kropina Metric / Caponio, Erasmo; Giannoni, Fabio; Masiello, Antonio; Suhr, Stefan. - In: ADVANCED NONLINEAR STUDIES. - ISSN 1536-1365. - STAMPA. - 21:3(2021), pp. 683-695. [10.1515/ans-2021-2133]

Connecting and Closed Geodesics of a Kropina Metric

Erasmo Caponio;Antonio Masiello;
2021-01-01

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.
2021
Connecting and Closed Geodesics of a Kropina Metric / Caponio, Erasmo; Giannoni, Fabio; Masiello, Antonio; Suhr, Stefan. - In: ADVANCED NONLINEAR STUDIES. - ISSN 1536-1365. - STAMPA. - 21:3(2021), pp. 683-695. [10.1515/ans-2021-2133]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/227898
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