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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…