Structure of Submetries
arXiv:2007.01325 · doi:10.2140/gt.2022.26.2649
Abstract
We investigate the geometric and topological structure of equidistant decompositions of Riemannian manifolds.
References in corpus (13)
- Metric measure spaces with Riemannian Ricci curvature bounded from below
- Semiconcave functions in Alexandrov's geometry
- On quotients of spaces with Ricci curvature bounded below
- Orientation and symmetries of Alexandrov spaces with applications in positive curvature
- On the structure of sets with positive reach
- Isometry groups of Alexandrov spaces
- Focal Radius, Rigidity, and Lower Curvature Bounds
- Singular Riemannian foliations and applications to positive and nonnegative curvature
- Metric-measure boundary and geodesic flow on Alexandrov spaces
- Orbifolds from a metric viewpoint
- Bipolar comparison
- Topological regularity of spaces with an upper curvature bound
- Quantitative Estimates on the Singular Sets of Alexandrov Spaces