Polar Coordinates Induced by Actions of Compact Lie Groups
Polar Coordinates Induced by Actions of Compact Lie Groups
Let G be a connected Lie subgroup of the real orthogonal group O(ti).For the action of G on R", we construct linear subspaces a that intersect all orbits.We determine for which G there exists such an a meeting all the G-orbits orthogonally; groups that act transitively on spheres are obvious …