7 citations · 15 across the 8 of their papers we have counts for
8 papers
Generalized Semi-Riemannian Submersions and Foliations
Benigno O. Alves, Jair C. de Oliveira
In this article, we introduce the concepts of generalized semi-Riemannian submersions and foliations, extending the classical framework to accommodate leaves with varying or degene…
Conic Pseudo-Finslerian Mechanical Systems
Benigno Oliveira Alves, Glaene S. S. Mendonça
We develop a geometric framework for conservative mechanical systems modeled on conic pseudo-Finslerian manifolds, extending classical Riemannian and semi-Riemannian mechanics to a…
On singular Finsler foliations of -spaces
Marcos M. Alexandrino, Benigno O. Alves, Patricia Marcal
We investigate singular Finsler foliations (SFFs) on a manifold equipped with an -metric. To be precise, we verify that any SFF of an -space is, under some hypotheses…
Isoparametric functions and mean curvature in manifolds with Zermelo navigation
Benigno Oliveira Alves, Patricia Marcal
The generalized Zermelo navigation problem looks for the shortest time paths in an environment, modeled by a Finsler manifold (M,F), under the influence of wind or current, represe…
On equifocal Finsler submanifolds and analytic maps
Marcos M. Alexandrino, Benigno Alves, Miguel Angel Javaloyes
A relevant property of equifocal submanifolds is that their parallel sets are still immersed submanifolds, which makes them a natural generalization of the so-called isoparametric…
On Finsler transnormal functions
Marcos M. Alexandrino, Benigno O. Alves, Hengameh R. Dehkordi
In this note we discuss a few properties of transnormal Finsler functions, i.e., the natural generalization of distance functions and isoparametric Finsler functions. In particular…
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…