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math.DG2002
Variationally complete actions on compact symmetric spaces
Claudio Gorodski, Gudlaugur Thorbergsson
We prove that an isometric action of a compact Lie group on a compact symmetric space is variationally complete if and only if it is hyperpolar.
math.DG2002
Representations of compact Lie groups and the osculating spaces of their orbits
Claudio Gorodski, Gudlaugur Thorbergsson
Several classes of irreducible orthogonal representations of compact Lie groups that are of importance in Differential Geometry have the property that the second osculating spaces…