79 citations · 546 across the 50 of their papers we have counts for
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A note on the existence of tubular neighbourhoods on Finsler manifolds and minimization of orthogonal geodesics to a submanifold
Benigno Alves, Miguel Angel Javaloyes
In this note, we prove that given a submanifold in a Finsler manifold , (i) the orthogonal geodesics to minimize the distance from at least in some interval, (ii…
On singular Finsler foliation
Marcos M. Alexandrino, Benigno O. Alves, Miguel Angel Javaloyes
In this paper we introduce the concept of singular Finsler foliation, which generalizes the concepts of Finsler actions, Finsler submersions and (regular) Finsler foliations. We sh…
Some criteria for Wind Riemannian completeness and existence of Cauchy hypersurfaces
Miguel Ángel Javaloyes, Miguel Sánchez
Recently, a link between Lorentzian and Finslerian Geometries has been carried out, leading to the notion of wind Riemannian structure (WRS), a generalization of Finslerian Randers…
Wind Riemannian spaceforms and Randers metrics of constant flag curvature
Miguel Angel Javaloyes, Miguel Sánchez
Recently, wind Riemannian structures (WRS) have been introduced as a generalization of Randers and Kropina metrics. They are constructed from the natural data for Zermelo navigatio…