Dual leaves of polar actions on simply connected complete nonnegatively curved manifolds are totally geodesic and closed, themselves polar and nonnegatively curved, inducing a Riemannian submersion to a homogeneous space.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.DG 2verdicts
UNVERDICTED 2representative citing papers
In representations with nontrivial copolarity, faces of G-invariant compact convex sets are determined by their intersections with fat sections, including exposure of faces.
citing papers explorer
-
The dual foliation of polar actions on nonnegatively curved manifolds
Dual leaves of polar actions on simply connected complete nonnegatively curved manifolds are totally geodesic and closed, themselves polar and nonnegatively curved, inducing a Riemannian submersion to a homogeneous space.
-
Faces of invariant convex sets in representations of nontrivial copolarity
In representations with nontrivial copolarity, faces of G-invariant compact convex sets are determined by their intersections with fat sections, including exposure of faces.