3 papers
math.DG2023
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…
math.DG2022
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…
math.DG2018
Lie groupoids and semi-local models of Singular Riemannian foliations
Marcos M. Alexandrino, Marcelo K. Inagaki, Mateus de Melo +1
We describe a local model for any Singular Riemannian Foliation in a neighbourhood of a closed saturated submanifold of a regular stratum. Moreover we construct a Lie groupoid whic…