A General Theory of Canonical Forms
A General Theory of Canonical Forms
If $G$ is a compact Lie group and $M$ a Riemannian $G$-manifold with principal orbits of codimension $k$ then a section or canonical form for $M$ is a closed, smooth $k$-dimensional submanifold of $M$ which meets all orbits of $M$ orthogonally. We discuss some of the remarkable properties of $G$-manifolds …