Zobrazeno 1 - 10
of 84
pro vyhledávání: '"Alexandrino, Marcos M."'
A singular foliation $\mathcal{F}$ on a complete Riemannian manifold $M$ is called Singular Riemannian foliation (SRF for short) if its leaves are locally equidistant, e.g., the partition of $M$ into orbits of an isometric action. In this paper, we i
Externí odkaz:
http://arxiv.org/abs/2311.07058
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 dual leaves. More precisely, we investigate the attainable sets $\mat
Externí odkaz:
http://arxiv.org/abs/2204.13218
An orbit-like foliation is a singular foliation on a complete Riemannian manifold $M$ whose leaves are locally equidistant (i.e., a singular Riemannian foliation) and (transversely) infinitesimally homogenous. This class of singular foliation contain
Externí odkaz:
http://arxiv.org/abs/2111.13257
Publikováno v:
In Differential Geometry and its Applications April 2024 93
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 submanifolds. In this paper, we prove that the regular fibers of an an
Externí odkaz:
http://arxiv.org/abs/2102.01257
Publikováno v:
Expo. Math. 40 (2022) 177-230
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 a Killing foliation, are described by flows of transverse Killing vect
Externí odkaz:
http://arxiv.org/abs/2006.03164
In this paper we investigate the mean curvature flow (MCF) of a regular leaf of a closed generalized isoparametric foliation as initial datum, generalizing previous results of Radeschi and first author. We show that, under bounded curvature condition
Externí odkaz:
http://arxiv.org/abs/1909.04201
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 which controls the transverse geometry of the linear approximation of the
Externí odkaz:
http://arxiv.org/abs/1812.03614
Publikováno v:
Differential Geometry and its Applications Volume 65, August 2019, Pages 93-107
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, we prove that critical level sets of an analytic transnormal functio
Externí odkaz:
http://arxiv.org/abs/1807.08398