Geodesics on strong Kropina manifolds

Abstract

We study the behavior of the geodesics of strong Kropina spaces. The global and local aspects of geodesics theory are discussed. Our theory is illustrated with several examples.

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References in corpus (7)

• Notes on Perelman's papers
• On projective two-dimensional Finsler spaces with special metric
• Wind Finslerian structures: from Zermelo's navigation to the causality of spacetimes
• The cut locus and distance function from a closed subset of a Finsler manifold
• Zermelo navigation in pseudo-Finsler metrics
• Metric structures associated to Finsler metrics
• Some criteria for Wind Riemannian completeness and existence of Cauchy hypersurfaces

Cited by in corpus (7)

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• Wind-Finslerian structure of black holes
• Finslerian indicatrices as algebraic curves and surfaces
• Observational tests of the conformal osculating Barthel-Kropina cosmological model
• The geometry on the slope of a mountain