27 citations · 39 across the 3 of their papers we have counts for
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math.DG2016★ 1 cited
On the use of connections in the calculus of variations in Finsler geometry
Henrique Vitório
We propose a unified approach to the theory of connections in the geometry of sprays and Finsler metrics which, in particular, gives a simple explanation of the well-known fact tha…
math.DG2014★ 11 cited
Zermelo navigation in pseudo-Finsler metrics
Miguel Angel Javaloyes, Henrique Vitório
We generalize the notion of Zermelo navigation to arbitrary pseudo-Finsler metrics possibly defined in conic subsets. The translation of a pseudo-Finsler metric is a new pseudo…
math.DG2012★ 27 cited
On Fermat's principle for causal curves in time oriented Finsler spacetimes
Ricardo Gallego Torromé, Paolo Piccione, Henrique Vitório
In this work, a version of Fermat's principle for causal curves with the same energy in time orientable Finsler spacetimes is proved. We calculate the secondvariation of the {\it t…