36 citations · 184 across the 26 of their papers we have counts for
28 papers
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…
Singular Riemannian Foliations, variational problems and Principles of Symmetric Criticalities
Marcos M. Alexandrino, Leonardo F. Cavenaghi, Diego Corro +1
A singular foliation on a complete Riemannian manifold is called Singular Riemannian foliation (SRF for short) if its leaves are locally equidistant, e.g., the pa…
Traveling along horizontal broken geodesics of a homogenous Finsler submersion
Marcos M. Alexandrino, Fernando M. Escobosa, Marcelo K. Inagaki
In this paper, we discuss how to travel along horizontal broken geodesics of a homogenous Finsler submersion, i.e., we study, what in Riemannian geometry was called by Wilking, the…
Singular Riemannian Foliations and the prescribing scalar curvature problem
Marcos M. Alexandrino, Leonardo F. Cavenaghi
An orbit-like foliation is a singular foliation on a complete Riemannian manifold whose leaves are locally equidistant (i.e., a singular Riemannian foliation) and (transversely…
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…
Leaf closures of Riemannian foliations: a survey on topological and geometric aspects of Killing foliations
Marcos M. Alexandrino, Francisco C. Caramello
A smooth foliation is Riemannian when its leaves are locally equidistant. The closures of the leaves of a Riemannian foliation on a simply connected manifold, or more generally of…